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A lesser reprimand also requires a House vote of disapproval, but without the member appearing in the well.

Mr. Rangel has asked the ethics committee and the public to take into account his four decades of service in the House, where he’s tied for fourth in seniority.

Until March, when he relinquished his chairmanship of the Ways and Means Committee, Mr. Rangel wielded great power over tax legislation. He stepped down in March after the ethics committee concluded, in a separate case, that Mr. Rangel improperly allowed corporations to pay for two trips to the Caribbean.

He complained at his ethics trial Monday that the proceeding was unfair because he needed time to obtain new lawyers. Mr. Rangel argued that his former defense team abandoned him after he paid them nearly $2 million — but he could afford no more. The panel rejected his request, and Mr. Rangel walked out of the proceeding.

Mr. Rangel, a founder of the Congressional Black Caucus, remains a political kingpin in New York’s Harlem neighborhood and is unlikely to resign. He won re-election earlier this month.

His conviction was a fresh setback for Democrats who lost control of the House to the GOP in the midterm elections, providing support for Republican candidates’ assertions of bad conduct.