The phrase often implies eagerness or urgency in locating or acquiring something. I need to lay my hands on some concert tickets before they sell out!
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Slang Usage
Sometimes used informally to express getting control of something without permission. He finally got his hands on his brother's video game collection.
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Not Always Literally
It doesn't always involve physically touching the item, it can mean to acquire it in any way. She laid her hands on a rare stamp for her collection through an online auction.