Pull on the tag a little and it will expose the stitch holes in the tag. Cut along the holes like the perforations on paper, but leave the last one or two attached. Then you can pull the tag to the side, pulling the thin strip from inside the hem. It doesn't always come out clean, so have a pair of tweezers handy to weed out whatever gets left behind.
Doing it this way is easier for me than trying to fish out the entire cut end after slicing the whole tag off.
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