Aloha Mark,
there is also an adhesive called "PlioBond" that will work. I used to mainly use it on my flyfishing equipment because, as the name indicates, it remains a very pliable bond when joining lines. I used it for a while on my GT gear, but then lost the bottle and never bothered to buy it again.
The thick liquid will soak into the braided lines, then wipe off the excess. After it cures, it will remain highly flexible while still binding the fibers together.
One downside, is that it STINKS to high hell, a get out of the room kind of stink.