How much are you will to spend towards a test to see if it will work so you can still use the Titan in this setup? If the budget is tight, this is not a good idea. Sell the Leaf battery modules and buy LFP cells that you can tie into the Titan in an 8S setup.
I did a bit of thinking towards how this might all work.
Yes. You will need one charge controller that will take the solar panels and properly charge the Leaf batteries at your desired current and voltage limits. It will seek maximum power and always just try to top out the battery bank.
Then you need to feed that energy down to the Titan 21 to 29.6 volt battery bank. A proper DC to DC battery charger would be ideal, but I did not have any luck last night trying to find one designed for that purpose for these voltages at a decent current. Using a solar charge cntroller is not ideal, but knowing how some of the cheaper MPPT ones work, there is a good chance it will fall back to the set battery charge current on the output side. But there is also a problem on that. Let's say the batter in the Titan is low for whatever reason. If you use a charge controller that is set to truly charge up a 24 volt LFP pack, it will want to pull it up to 29.6 volts at the set current. You want to be able to use full power of th Titan inverter, so you set that current at 100 amps, but the inverter is not pulling much at the moment. This setup will push almost the full 100 amps into the relatively small battery in the Titan. That will likely destroy the batteries. For safety, I think the voltage will need to be set a little lower, and you should ensure the Titan's internal battery starts ABOVE the voltage set in the charge controller before connecting the system and turning it on. This way, the charge controller should be in a limited current mode as it thinks the battery is already at this now lowered absorb voltage. Let's say 26 volts should be safe. That would be 3.25 per cell, maybe go a little more, but this will have to be worked out on how well the system performs. The highest I would go is 27.2 which is 3.4 per cell. Any higher would hold the cells up to where they are being stressed. If the Titan is fully charged up, the cells go to 3.65 volts, but start to settle a bit. When you connect it, the Controller from the 48 volt pack sees a full battery and limits the current low. You start to pull current and the Titan battery voltage starts to drop. Ideally, the charge controller will see this and start to supply current. It will ramp up the current either to the set limit, or until the voltage hits the absorb setting where it should reduce current again. In a perfect world, the charge controller will just put out the right current to feed the load while holding the Titan battery at the fixed voltage.
Here is the other problem using a solar charge controller like this....
If it is actually a good charge controller, it will have time limits for the absorb mode, and it might force a wait time or a low voltage point where it will go back into charge mode. You don't want either of those features for this to work. Those are good if it is just charging a battery, but in your use case, they will cause more cycling of the Titan battery, and even worse, if it allows the battery voltage to fall too far, it could end up hitting it with the 100 amps again. So without bench testing to see how it will respond, this is a science experiment.
As for the Leaf battery setup, if you still want to use them...
You have a few options for configuring the battery bank. If you want to end up with a roughly 48 volt 14S the best you can do it use 42 modules and have 6 spares. To make them line up nice like Ampster's picture, it would be dropping out either 6 of the A type or 6 of the B type. You end up with 7 stacks like in that picture, with each stack of 7 alternating A type and B type. I don't know which is which, but let's say "A" has the + on top and the - on the bottom. The the "B" would have the - on top and the + on the bottom. The first 6 modules go just like that, but then the bottom buss bar gets jumped to the next group of 6 that look just lie that, but have the opposite polarity. Then the next groups top buss bar goes to the next group of 6.
If you start with 6 "A modules, then you have 6 "B", then 6 more "A", 6 more "B" , 6 more "A", 6 more "B", and finally the last 6 "A" and you are left not using the last 6 "B"'s. AAAAAABBBBBBAAAAAABBBBBBAAAAAABBBBBBAAAAAA
The first module buss bar hitting just 6 is the full pack negative, and the last module Buss bar hitting 6 is the full pack positive. Each BMS lead will but a buss bar. Full negative is either lead 0 or 1- depending on hos the BMS is labeled. Then the fist middle bar from there is cell 1+ then the large buss bar from module bank 1 to module bank 2 is actually Cell 2+. The next middle bar is Cell 3+. Next large bar from module 2 to module 3 is the Cell 4+. And you just repeat the pattern just like the original video you linked with 7 modules, only each module is actually a stack of 6 modules bussed in parallel to act as a single much larger module.
Having all 42 modules in one straight string is easy, but it does get to about 7 feet long. Think about where you want to put it and how it is going to fit. You can also break is at the junction between the 3rd and 4th or the 4th and 5th and fold it back bu using a cable instead of a straight buss bar for that junction, but it must be at split between the groups of 6. So you have a line of 4 groups and a line of 3 groups.
AAAAAABBBBBBAAAAAABBBBBB
AAAAAABBBBBBAAAAAA
Something like that.
If you do it with 2 BMS units, it would be 2 strings using groups of 3 modules.
AAABBBAAABBBAAABBBAAA
BBBAAABBBAAABBBAAABBB
Doing it like this, you could also end up with 3 spare "A" modules and 3 spare "B" modules. Just make sure to watch the + and - and keep the strings all in the right order.