WHERE clause with 40+ conditions

My users are presented with a list of checkbox for 4 different attributes
(e.g. type of image, country, etc.)

For type of image they can choose JPG, PNG, JP2000, etc. or turn off the
check box.

My naive implementation would have a WHERE clause with over 40 different
tests (type='JPG' OR type='PNG' OR country='USA' ...)

There has to be an more efficient way to do this (and gives better hints to
the PLANNER).

Suggestions?

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