Saturday’s gatherings were more subdued than some past events, and many prominent Democrats skipped them.

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As he stumps for midterm candidates, the president has been especially eager to talk about the physical appearance of some men.

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Ms. Collins, a Republican running in a crucial race, said the debate remark by Troy Jackson reflected how he treated women. Mr. Jackson defended his comment.

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Representative Alexandria Ocasio-Cortez campaigned with Dr. Abdul El-Sayed in a swath of Michigan including areas won by President Trump, making a progressive pitch in a key Senate race.

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