Repairing damaged fake wood

[ShaneHobson]

While I have my dash apart, I'd like to have a crack at refurbishing the fake wood plastic surrounds.

One piece had faded in the sun, another piece has scratches and glue stuck on it (some hideous crime committed by a previous owner).

Has anyone here tried sanding these plastic trims to restore their appearance ?
Much like light sanding to restore a paint finish, simply cutting away the top layer.