Hang the puzzle without sticking: in the picture frame
I like to do jigsaw puzzles several times the same.
Now at Christmas time, I have hang various Christmas puzzle (1000 pieces) on the wall, which I hang again after Christmas and keep in pieces until next year in a box.
The 1000-piece puzzle Ravensburger usually have the dimensions 70x50 cm and thus fit into rimless glass picture frames that can be closed with brackets.
I make the puzzle on the back of the picture frame and when it's done, I put the glass on it, turn the whole thing over and close the frame with the clips. Now I can hang the puzzle and if I want to have a new one just solve brackets, puzzle out and new in pure.