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Difference between Close the book on something and Close the books on something

close the book on somethingput an end to a matter; stop working on a case:

  • The police insinuate that David may have been involved in illegal activities and seem to close the book on the case.

Note: The expression does not correlate in meaning with the phrase closed book, a—used of a person or thing one can’t figure out or does not know anything about:

  • At first, I politely refused the commission, as opera is a closed book to me,” says Tojuro…

close the books on somethingbalance accounts at the end of an accounting period:

  • While residential brokerages expect to close the books next month on a record sales year, they are already seeing signs of a slowdown.

See also: open a book on something / open book, an.