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Count If Date is Between, Rolling Dates

I have a process that will all automatic rolling of dates. So -2 is two months ago, -1 one, 0 current month etc. So I need a formula that I can use this automatic rolling to check projects on another sheet to count resources during that month that are used by role.

My logic:

Count if Role matches, Count if "rolling month" is between the start and finish dates.

These pictures show the sheets I am working with.


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