But executives at the German bank, which has lent billions of dollars to the Trump and Kushner companies, never filed employees’ reports with the government. The employees said it was part of a pattern of executives rejecting reports to protect relationships with lucrative clients.

How we know: Five current and former bank employees detailed the cases, which involved transactions that set off alerts in a computer system designed to detect illicit activity. At least some of those transactions involved money flowing back and forth overseas. (Red flags do not necessarily make the transactions improper: Real estate developers like Mr. Trump and Mr. Kushner sometimes do large, all-cash deals, including with people outside the U.S.)

Response: A spokeswoman for the Trump Organization said the family businesses had “no knowledge of any ‘flagged’ transactions with Deutsche Bank.”

Background: Deutsche Bank was the only mainstream financial institution that remained consistently willing to do business with Mr. Trump. That relationship is under investigation, and the president has sued to block the bank from complying with congressional subpoenas.

E.P.A. math change could make pollution deaths vanish

The Environmental Protection Agency plans to adopt a method for projecting the health risks of air pollution that would lower its estimate of premature deaths under a proposed rule on emissions from coal plants.

The methodology, which five current or former agency officials described to The Times, could be used by the Trump administration to defend further rollbacks of air pollution rules.