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Any metal polish will do. Silver polish is fine. If you have the finest possible steel wool (rated "000") you can use that to rub. Otherwise, a cotton rag will work too. You'll need some pressure to...

If it's only surface rust, you could try polishing it off, with some polishing compound. "Maas" is often reported here as a good brand.
You should always dry your razor thoroughly after use, allow...