Illustrator Layers Causing Lines When Imported to After Effects

I am working on creating an animated logo in After Effects using an Illustrator file. The file has been broken into several layers and needs to be animated seperatly. The only problem is that after animating all the layers that build the logo, there are lines in between each part of the logo. This is not visible in Illustrator and I have imported the file to After effects via File > Import > File Import Kind: Composition – Layer Size. This import made the lines slightly less visible but the problem still remains. I want to know how to solve this issue but still animate using layers. Thanks!