WASHINGTON—House lawmakers are readying to campaign in the post-impeachment landscape, with Democrats eager to focus on policy issues and Republicans planning to attack swing-district Democrats for voting to remove a president whom many of their constituents support.

Democrats plan to defend the majority, and specifically their 30 seats in districts that Mr. Trump won in 2016, by discussing the issue that gave them the gavel in 2018: lowering health-care costs. Lawmakers expect to stay far away from talking about the two articles…

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