The layers of the frame are held together with little silver clips which are hidden under the ribbon on each side. The glass that comes on the front of the frame is put in the back of the stack of layers because I wanted to have that 3-D effect and it can't just be discarded because the thickness is needed to make the clips effective.
Now for the trick I mentioned - when I cut out small detailed images I trim away as much of the outside as possible first. Then I get out my little pack of 3x3 post-it notes. Put the trimmed image on the sticky part of the post-it note and then cut it out. The post-it gives you something to hold onto while you're cutting as well as giving the very fine, or skinny parts of the image some substance so they don't tear off.