Run

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Related to running an errand: come in handy, Off the Top of My Head, in stride

Run

To have legal validity in a prescribed territory; as in, the writ (a court order) runs throughout the county. To have applicability or legal effect during a prescribed period of time; as in, the Statute of Limitations has run against the claim. To follow or accompany; to be attached to another thing in pursuing a prescribed course or direction; as in, the Covenant (a written promise or restriction) runs with the land.

References in periodicals archive ?
While running an errand for a guest at an exclusive Mayfair jewellery boutique, Sam meets salesgirl Mary (Imogen Poots) and is smitten.
The teenager was running an errand for his grandma when Mason targeted him and stole money from him.