A pro-gun-control group is using footage of the attempted assassination of President Reagan in a new ad.

The ad from the United Network of Rational Americans uses the footage to argue expanded background checks might have prevented John Hinckley Jr. from shooting the president. It also says Reagan himself made that argument.

“President Reagan believed something could have prevented the attack,” the ad’s narrator says. “Ten years later, he wrote the attack might never have happened if a bill requiring background checks had been law.”

Hinckley shot Reagan 32 years ago this week despite the presence of armed Secret Service agents and police, the group notes. He was later found not guilty by reason of insanity in the shooting, which injured four. Reagan suffered a punctured lung and press secretary James Brady was left paralyzed.