cotyledons

Those first two leaves that are only responsible for providing nutrients until the fan leaves grow in, as they wither and die should I snip them off or just leave them be?(no pun intended.) Also the cotyledons actually appear to be in better shape today then yesterday. They aren't curled as much and the dark brown tips went away. I put a fan near my plant maybe that's why. But what is the best course of action in handling the cotyledons?
 
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