Kelley, who served at Holloman Air Force Base in New Mexico, should have been barred from buying firearms and body armor after he was convicted on domestic abuse charges.

Here’s what you need to know:

What happened to Kelley?

He was sentenced to a year in prison and kicked out of the military with a bad-conduct discharge following two counts of domestic abuse against his wife and a child. In a statement, the Air Force said that Kelley’s domestic violence offense was not entered into the National Crime Information Center database, which is used by gun sellers to screen for felons and violent criminals who are prohibited from buying firearms.

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How was Kelley able to purchase weapons?

Kelley was able to purchase two weapons from a firearms retailer after passing federal background checks this year and last. It is unclear whether he used the same weapons in Sunday’s shooting.

But his ability to buy guns highlights the Air Force’s failure to follow the Pentagon’s guidelines for ensuring that violent offenses are reported to the FBI. Domestic-abuse convictions are among the crimes the military services are required to report.

What was the military’s response?

Lawmakers called on Defense Secretary Jim Mattis to determine how many former service members who’ve been convicted of violent crimes also have been improperly documented. Mattis said Tuesday that he has directed the Pentagon’s inspector general to investigate.

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“If the problem is that we didn’t put something out, we’ll correct that,” Mattis said.

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Air Force Secretary Heather Wilson said Thursday that she expects that a draft report due next week will detail how the service failed to send Kelley’s information to FBI criminal databases. Additionally, Air Force databases are being searched for other instances of violent offenders possibly falling through the cracks, Wilson added.

Did Kelley receive proper punishment?

Kelley’s case shows the military “has an archaic, ineffective sentencing system they have refused to reform,” said Don Christensen, a former Air Force chief prosecutor. In Kelley’s case, a jury of airmen — not a judge — chose his sentence.

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Jurors typically hand down lighter penalties, Christensen said, and Kelley’s crimes probably should have demanded more-severe punishment. Had Kelley received a dishonorable discharge, his information almost certainly would have reached the FBI criminal database.

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“Sentences typically skew light in crimes of violence than what you see in the civilian world,” Christensen said, calling the appointment of a jury in a case of such magnitude both highly unusual and “disturbing.” Severe child abuse carries a maximum prison sentence of five years in the military court system, which can be similar to offenses such as onetime drug use, he said.