You will likely destroy them removing them, or at the least they will not be "restore able". Best bet would be to pull them off, clean the plastic well, and using your fabric or carpet of choice cutting out a section to replace the old material. The 3M fabric adhesive works very well when used correctly. Spay the back side of the carpet and the panel and let it sit until the glue is very tacky. Apply and smooth out. Trim further if needed.
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