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They’re also keeping things positive — at least for now — despite a plethora of ethics-related issues that have shrouded city hall for the last year.

Mr. Grosso said he has done some research on his opponents, but at this point he does not plan to exploit the cloud that surrounds city hall.

Those issues include contributions from Jeffrey E. Thompson, a prolific contributor to D.C. political campaigns whose home was raided by FBI agents in March, although he has not been charged with any crime.

Mr. Orange, who also has not been accused of wrongdoing, asked the D.C. Office of Campaign Finance to take a look at “suspicious” money orders his campaign received from Mr. Thompson’s network during a special election campaign last year.

In spirited remarks during last week’s legislative session, Mr. Orange highlighted news reports of Mr. Brown’s “issues” in prior years, including failure to pay taxes and a federal campaign finance violation in the 1990s.

Mr. Brown has said “the voters vetted me on the issues and they were satisfied.”

“In the end, the media has done a good job of showing off those aspects of my opponents,” Mr. Grosso said. “We’re not going to do a lot of that.”

Mrs. Beatty is a Texas native who moved to the District in the 1990s and served as an advisory neighborhood commission member in a northeast section of Capitol Hill. She, too, is striking a positive tone at this juncture, pitching her candidacy as “another option” for city voters.

“My focus is not on trying to unseat anybody else,” she said.