Date functions in IF Statement

Hi, I'm trying to get the previous month and previous year via a formula. Here is the formula I am  trying to use:

=IF(MONTH(TODAY()) = "2", MONTH(TODAY()) - 1 + "/" + YEAR(TODAY()) - 1, "false")

It works when I remove the -1 from the YEAR(TODAY()) - 1 part, but when I add the -1 back in I get #INVALID OPERATION. Any ideas? Thanks!

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