re: Light fixture not coming on

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All of a sudden, one of our 2 kitchen light fixtures does not come on.

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There are 2 switches that control both fixtures.
Neither one lights both fixtures.

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Are you just clarifying that both fixtures are independently controlled by their own switches? Or are you saying that both fixtures are controlled by 3-way switches?

If the latter, first thing I would check AFTER checking the breaker would be the switch itself. Sometimes a bad/old switch will cause this. I'm not familiar with how 3-way switches but there's a chance one or both could be related to a possible problem.