duplicate formula with return info

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I have a table with two columns A and B. On column A I have some ID s and on the B column and have dates. On A the Id s are not unique. I need you help to build a formula that will search on A for duplicates ID s and if there are, to show on C column on the ID with the recent date ,,True,, and on the other duplicates ,,False,,. If are uniques ID s, on C must show ,, True,, .

Something like on the attached picture table...

enter image description here

I appreciate if you will help me with a formula instead of an VBA code

sample picture table

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Try,

=[@date]=MAXIFS([date], [id], [@id])

enter image description here

If you get a #NAME! error then search this site for [excel][maxifs] to find a compatible solution.