So I deleted some files that are on a drive mapping of remote computer. Where do they get put? I looked in both recycle bins, and there is nothing. Anyone know?

Bad news. Items deleted over a network do not go to a recyle bin. They are deleted permanently. You may (but its unlikely) be able to recover the files using specialist utilities.

restore the files form a backup. if backup is unavailable... well I use R-Studio

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