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“There’s been a lot of action in the lower courts, and the Supreme Court in situations like this often waits for what it thinks is a pretty good case,” Mr. Lund said. “They’re very rarely in a hurry to get these things decided. I don’t think the chances are real high.”

He said it’s more likely that the justices will wait for a case that presents big issues about carrying guns in public — possibly a lawsuit over states that give themselves leeway to judge whether someone needs to carry a concealed weapon.

Those states are known as “may carry” jurisdictions, while other states that presume a person eligible unless they are discounted by dint of criminal record or mental problems are considered “shall carry.”

Edward Leddy, a former director of the Center for the Study of Firearms and Public Policy, said a challenge to a “may carry” law would present stark Second Amendment questions that the court could settle.

He said that as a parole officer for two decades in New York, he handled plenty of cases involving murderers and even three serial killers and would have reason to fear retribution. But when he applied for a concealed-carry permit, his need for a gun was questioned.

“May issue and shall issue is a lot more important distinction than people realize,” Mr. Leddy said. “It certainly is always an issue and will continue to be.”

The justices have the option of granting petitions, known as writs of certiorari, on any or all of the cases; denying them; or taking no action.

But, Mr. Winkler said, “I think the court will have to deal with ‘may issue’ sooner rather than later.”