Meaning of “run sth up” in the English Dictionary

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"run sth up" in British English

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(Definition of “run sth up” from the Cambridge Advanced Learner’s Dictionary & Thesaurus © Cambridge University Press)

"run sth up" in Business English

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run sth up

phrasal verb with run uk /rʌn/ us verb running, ran, run

to continue to add small amounts to an amount owed until the total amount becomes very high:

(Definition of “run sth up” from the Cambridge Business English Dictionary © Cambridge University Press)