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hound (someone) out (of some place)
To hunt, chase, or pursue someone relentlessly, until they leave a particular place. Police hounded the suspect out of his hideout and were able to arrest him en route to Mexico.
hound (something) out of (one)
To badger, hector, or pester one, especially persistently or relentlessly, until they reveal some piece of information. Good luck hounding that secret out of Bill—he's like a vault with stuff like that. The police are trying to hound the criminal's whereabouts out of one of her accomplices.
hound someone out
(of something or some place) Go to hound someone from some place.