If you're looking for something relatively short term, try sanding it
lightly and then applying enamel paint (they make this for chips,
specifically for sinks and bathtubs. Little $2-3 container that applies like
nail polish). I used this method and it lasted about a year. I'm soon going
to give it another go and see if it's any good this time around (seems the
rust is getting harder to sand off). Make sure you let the paint dry
completely according to the instructions before using the sink again.
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