@mark's post was spot on. That said, I do know of people who have carefully split the "taco" apart and were able to repair a bad solder joint. That was a *very* long time ago. Not sure what materials they use these days between the glass and the back-sheet (possibly silicon to adhere the cells to the glass or backing).
If you can get one or more to experiment with, look for ones that do NOT have cracked glass (like someone else pointed out that the soldered connections can get corroded), carefully remove the perimeter seal, and see if you can peal the backing off. Better yet. Take an old volt-ohm-meter with you and see if it is still making voltage. If it IS, then just use a degraded panel for the panel (which others have implied), and maybe do some experimentation with adding coolers to the back (like a heat-pipe, PCM, air, and more).
Anyway, back to the original question. Supposedly, some of the old ones were repairable. Not sure about the new ones. That said, there is likely a bug push to make things in such a way that they are easily recyclable. All of this together is just -- get some and find out.
Oh, BTW, I found a recommendation on the net to reach out to some of the local solar installers and see if they have any old used ones, or ones they want to get rid of. One guy was able to pick up a pallet of 30x (with some broken, but was able to pull 9x out and install on a roof)...