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The announcement comes just days after Giffords visited Newtown, Connecticut, and met with families of the victims of last month’s Sandy Hook Elementary School massacre in which 20 children and six teachers were killed.
Giffords also recently met with New York Mayor Michael Bloomberg, who heads his own mayors’ initiative that is also pushing for what he calls “reasonable” gun controls.
In the wake of the Dec. 14 Connecticut shooting, President Barack Obama has pledged to take swift action to reduce gun violence and has tapped a task force due to report later this month with possible measures.
The task force, led by Vice President Joe Biden, is reportedly weighing action beyond reinstating a ban on assault weapons and high-capacity magazines to include universal background checks and a national gun sales database, among other steps.
The wave of shootings and the threat of tighter gun restrictions has spurred intense reaction on both sides.
Consumer demand for guns appears to have soared in recent weeks, according to FBI data.
Gun control supporters worry that other looming issues such as the nation’s debt crisis could hamper efforts in Congress to push through new legislation.
Bloomberg’s group launched its own new ad on Tuesday with the mother of child who was killed in the Arizona shooting.