How can I get rid of eyeglass scratches?

Cannot. Replace the lenses. Try anti-scratch coatings, which are scratch resistant.
Hummmm? They may can be re-ground but quite honestly, you will have to buy a new pair of glasses to rid them of the scratches. If it is a coating that is scratched, the coating may can be removed and/or recoated removing the scratch. Call or see your eyeware dispenser.

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