There are times when the most effective way to remove scratches from
intricate work is to use a burnisher.
You may find that the commercially available burnishers may not be
small enough to fit into the areas that need attention. In this case
you can make your own.
I have gotten great results by using heavy gauge sewing needles and
old Xacto knife blades. You can shape these tools to fit your needs.
You can fit the needles into a pin vise and use an xacto blade handle
for the xacto blades.
Shape the home-made burnishers to fit into the problem areas of the
piece you are working with making sure that the very tip of the tool
is slightly rounded or blunted to prevent the tool from gouging the
work. Once the tool has the appropriate shape use various grits of
sand paper to bring the working surface of the tools to almost a
mirror finish, taking care to remove all scratches on the tool
surface. Then use polishing compounds to give the tool surfaces a
mirror finish. When you use the burnishers apply a little oil to the
tool so that it moves along the surface of the jewelry smoothly.
Good luck to you