Protector Remover Scratch

any ways to remove scratches on env touch's touch screen?

i got my new phone for Christmas and i took it to my friends house and i let her play with it and she scratched it. there not deep but i would like to remove them.i heard of Displex but i also heard about it working and ruining touch screens so i wont use that in case of it not working.is there an actual product made for removing touch screen phone scratches?i did try toothpaste,and nail polish remover, but i didn't apply much pressure in case of ruining it.so any ideas how to remove and dont talk about the protector screen covers beacause i had one extra from my mom's phone and i applied it wrong and the glue wore out so the next day i was going to get one but i went to my friends house before so yea it got ruined there, just my luck so any ideas i appreciate it.

so, is this a scratch, or a mark?
Scratch- nothing you can do.
Mark- what I do is gently scratch it off.

Wrapsol For iPad After 6 Months - Scratch Test & Removal