There are a few types of shoes that cannot be resoled. These include:
1. Shoes with glued-on soles: The glue used to attach the sole to the shoe is not strong enough to withstand the resole process, so these shoes must be replaced when the sole wears out.
2. Shoes with stitched-on soles: The stitching can come undone during the resole process, resulting in an uneven and possibly uncomfortable fit.
3. Some athletic shoes: The construction of some athletic shoes makes them difficult or impossible to resoled without damaging them. It's best to consult with a cobbler or shoe repair professional before attempting to resole these types of shoes.