Cutting objects that have transparency

I have a bit map that I used the interactive transparency tool in order to blend the edges into the next part of my design.

The problem comes when I try to cut or trim the overall design down to printable pieces. When I trim the bitmap the interactive transparency tool sort of moves with it and instead of a cut pieces, my faded edges move in too.

Any help?

Is there a way to apply the transparency or something? I am not sure how to split this...