OK, your 2 strips are folded in half, wrong sides together, pressed. 2 inches wide.
Stack them together so there are 4 raw edges on your right.
Sew them together through the 4 raw edges.
Turn the seam & you'll see your new binding.
Just grab some scraps & you'll see it happen. It's hard to
imagine but happens nicely in your hands. I love to have
a wavy edge by using a scallop stitch.
Please let me know how this works for you.