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"hunt down"vs"haunt down"
I have never heard "haunt down" before and it doesn't make much sense, I presume it is a simple spelling mistake. "Hunt down" means to hunt for a person, animal or object and is a common expression.
Yes, "haunt down" looks like a spelling mistake or possibly a transcription of someone's particular pronunciation of "hunt."
Either way, it's "hunt down" as "haunt down" is basically meaningless.
Either way, it's "hunt down" as "haunt down" is basically meaningless.