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In a statement, the NRA said it was not doing interviews in the aftermath of last week’s shooting in Aurora, Colo.

“We believe that now is the time for families to grieve and for the community to heal. There will be an appropriate time down the road to engage in political and policy discussions,” the organization said.

Top gun-control advocates, though, have said the shooting should change that.

Sen. Dianne Feinstein, California Democrat, and Rep. Carolyn McCarthy, New York Democrat, took to the airwaves over the weekend, urging their colleagues to work to ban high-capacity firearms and chiding them for allowing the 10-year ban on assault weapons to expire in 2004.

But the GOP, which controls the House, would be likely to block any legislation even if it cleared the Democratic-run Senate.

Last year, Republican leaders blocked efforts by Democrats to bring gun-control bills to the floor after the January 2011 Tucson, Ariz., shooting that killed six and severely wounded Rep. Gabrielle Giffords.

At that time, Mrs. McCarthy, whose husband was killed in a 1993 shooting on the Long Island Rail Road, and New Jersey Sen. Frank R. Lautenberg introduced legislation to ban high-capacity ammunition magazines, along with measures that would close several gun-law loopholes.

Instead, House Republicans passed bills that would prohibit any federal agency from banning recreational shooting on federally managed public lands, and another that would permit gun owners to carry concealed firearms across state lines if both states allow concealed carry.

The Senate has not taken up those bills.