put under
Intermediate (B1)neutral
To give someone medicine before an operation so they go to sleep and don't feel anything; or to place someone under someone's rule or control.
"The surgeon explained that they would need to put me under for the operation."
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like put under US ownership,

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Think of put under as categorize.

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traded with Europe were put under strain,

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He has been put under immense pressure

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The fleet was put under the command