The side moldings at the doors are held on with the mother of all adhesives. Apparently, it is a two part deal.
The actual molding is simply a piece of rubber. The "tape" is a piece of metal with adhesive on both sides.
Normally, when you remove them, the metal with the adhesive comes away from the body and stays with the rubber. They can be separated if you insist.
There are some threads here and elsewhere on how to remove, clean and reuse them. The body shop r&r'd them on my 79 when they painted it in 93.
I got them off of the 82, and did not reinstall after painting. I think if you keep them straight, and clean the adhesive off the metal, you can reattach them with molding adhesive. I had a short one that fell off, pass rear fender area, and that's how I put it back on. It held for 2 years until I took it off to paint.