PowerShell, 66 37 26 bytes

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!(($args|group|% c*t)-ne2)

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Groups up $l and grabs all the counts of matching values. It then filters out all counts of 2 from this list. If the list is empty, it's a Noah number; otherwise, it'll be populated still with non-2 counts. Not-ing the list will yield True if it's empty and False if it's populated