Is it possible to play the community levels of LittleBigPlanet 1 in LittleBigPlanet 2?
Solution 1:
Yes LBP1 levels can be played in LBP2. When doing a search for levels you can even choose to only search for LBP1 levels (or only LBP2 levels as well).
Solution 2:
Yes, LBP2 is fully backwards compatible, so you can play any of the previous levels in the new game.