Removing Textured Ceiling Drywall Tape Lifting After Removing Texture From Ceiling.?

Drywall tape lifting after removing texture from ceiling.? - removing textured ceiling

I just finished removing the popcorn ceiling in a room with my girls. While the elimination of noise, I rejected some of the edges of the strip of plaster on the walls meet the ceiling. What is the best way to solve this problem? Is it possible to take a knife and cut the ends up? I do not completely strip. Thank you in advance for taking the time to reply.