Call a local jeweler and inquire as to the cost of him buffing out the scratches. It might not be that costly and a jeweler will know exactly how to do it.
By
01/12/2010
For deeper scratches Jeweler's Rouge compound can be used. The compound, when spun onto the metal helps to remove deep scratches and polishes the metal to a mirror shine. The compound is used with a buffer's wheel and basically buffs out all the scratches in the metal by taking the ring down a layer. good luck.