I wet sand with 400, 800, 2000 ) because I had those grids already) and polish with a nail buffer. If I need to remove a lot of material I start with 240.
If you need to buy something, a sandpaper kit like this one will get the job done and should last a couple of builds
Damn thats weird. I got this cheap set of sand paper off Amazon. I started with the most course and worked my way to most fine. It came off pretty easy tbh. I accidentally went a little too deep, but not by much, so I coated it with some lacquer. Someone on the longboarding forum said they didn't think it hold up cause it's pretty thin but it's been perfect so far.
If the scratches are deep enough for a fingernail to catch on, then you'll need to sand them down.
Get an assortment of wet sand paper and step your way through the grits. Starting around 400 and finishing around 1500. If it's deeply scratched you may need to start at a lower grit. Basically just soak the sandpaper in water, have spray bottle handy to keep the frame wet (add a drop of dish soap so it's lightly soapy), and gently sand (use a foam block so pressure is even).
Wet-sanding is a slow process so it's gonna take a couple hours at least.
Alternatively you could use steel wool and/or scotchbrite but those don't go as fine as sandpaper. Really just comes down to how picky you are about the final finish.
You're effectively sanding down the plastic so it's clear again. I had a coworker use a headlight kit (forgot which one) with good success but you can also buy some sandpaper ($8) as a less-expensive and more-versatile alternative.
Spraying with clearcoat when you're done also works to protect them going forward.
This is what I ordered: https://www.amazon.com/dp/B01HBJ8Y00/ref=cm_sw_r_other_apap_2udr9Pp9HO69T