Clean your item first
Proper cleaning strategies:
- If the Lucite has dirt particles, sand, or anything else on the surface, run it under cool water before you attempt to clean it. Scrubbing dirt or sand across the surface with a cloth can inadvertently cause scratching.
- Purchase an appropriate cleaning product. There are several options for cleaning Lucite. One popular option is called Brillianize. Another option, which you may already have on hand, is good old Turtle Wax, the car wax product. Just buff the surface gently with a little wax and you'll see immediate results.
- While those products are great for cleaning, you'll need a specialized approach to actually remove and repair the scratches. The approach everyone swears by is a suite of products called Novus 1-2-3. Novus 1 is meant as a cleaner (like Brillianize), while Novus 2 is meant for lighter surface scratches and Novus 3 for deep scratches. The products have their own instructions to follow, and it's definitely not hard to get excellent results. While very deep scratches will likely be impossible to totally remove, they can be diminished greatly.