ArrayFormula and “AND” Formula in Google Sheets

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AND doesn’t work that way with Array formulae because it ANDs the whole array together in the top left cell, regardless of number of dimensions.

I.e. it checks if "">"" which is FALSE, ANDed with anything it will return FALSE for the top left cell, that result is carried down.

You can use multiplication of truth values to create ANDing that works with ARRAYFORMULA like this:

=ArrayFormula((A1:A>1)*(B1:B>6) = 1)

The OR equivalent would obviously be

=ArrayFormula((A1:A>1)+(B1:B>6) > 0)

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