The clear coat on my carbon fiber tail light inserts seems to have faded making the inserts look hazy. Has anyone else experienced this? Thinking I can wet sand them with 800-1000 grit sand paper and then polish them until the haze is gone. Has anyone tried this?

Also, how would I remove them if I needed to re-clear coat them? Just pry them off with a plastic trim tool? Bare they just held on with double-sided tape?
CATTMAN