This phrase originates from hunting where dogs are misled by a changed or masked scent. He shared false rumors to put the competitors off the scent of his company's new strategy.
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Figurative Use
The phrase is often used figuratively to mean distracting someone from finding the truth or real intention. In debates, misquoting statistics may throw the opponent off the scent.
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Deception Involved
Using the phrase implies an intentional act to deceive or confuse, rather than a misunderstanding. She changed the subject to throw her friend off the scent of the surprise birthday party.