"about their return" is preferable.
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Avangi"Keep us informed on" would work for a return which is already in progress.
tinanam0102Would you kindly help me with "...on this" and "...in this"? Before that I thought "on this" was like a common usage?"on this" is in common usage in all the examples you give (except that I'm not familiar with the expression "get a rush on this"). I'm not suggesting that "Please keep me informed on this" is wrong, or is not used by native
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