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The organization said in a statement that the congressional push is “a gun-control effort wrapped in security theater.”

Still, even House Democrats appeared to accept a straightforward extension with the prospect of revisiting the issue.

“I think the gun bill could be better, but this is a 10-year extension and obviously it can be worked on both in the Senate and the next Congress, and I think extending it is better than not extending it,” House Minority Whip Steny H. Hoyer, Maryland Democrat, said Tuesday ahead of the vote.

The issue has split gun rights advocates.

Several groups urged House lawmakers to defeat the 10-year extension, saying it would give Mr. Schumer a vehicle for his plans and would ignite another fight over gun rights.

But the powerful National Rifle Association dismissed those concerns. In a statement, the group said its target is Mr. Schumer’s bill, not Mr. Coble‘s.

“The NRA has been working for months to thwart expansion of the UFA by Sen. Chuck Schumer and others. We will continue to aggressively fight any expansion of the UFA or any other proposal that would infringe on our Second Amendment rights,” the NRA said.

“Some groups have been circulating misinformation in order to create confusion over today’s House vote. To be clear, Rep. Coble’s bill does not expand current law in any way, as Sen. Schumer’s proposal would do,” the NRA said.