A child sex abuse case involving one of the 115 cardinals currently voting to elect the next pope has been settled for almost $10 million.

The Roman Catholic Archdiocese of Los Angeles, its former leader Cardinal Roger Mahony and an ex-priest agreed to settle four child sex abuse cases brought against them, lawyers for the victims said.

Mahony retired from heading the US’ largest archdiocese in 2011, but is currently taking part in the papal Conclave in Rome.

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He is accused of helping a confessed paedophile priest evade law enforcement by sending him out of state to a Church-run treatment centre, then placing the priest back in the Los Angeles ministry.

The defrocked priest named in all four cases is Michael Baker, who ultimately was convicted in 2007 and sent to prison on 12 criminal counts of felony oral copulation with a minor involving two boys who reached a previous settlement with the Church.

The news came ahead of the Cardinals' return to the Sistine Chapel for a second day of voting in the Conclave.

Their schedule included a brief prayer followed by up to two rounds of morning balloting from the 115 Cardinals.

Late this morning, black smoke was seen billowing from the chimney of the Chapel, indicating that Cardinals had not elected a new Pope in their second or third round of balloting. Cardinals will break for lunch and return for up to two more ballots this afternoon.

The latest Los Angeles agreement came four weeks before civil suits brought by two men, now in their 20s, who claimed they were molested as 12-year-olds in the late 1990s, were scheduled to go to trial, plaintiff's attorney Vince Finaldi said.

The two other newly settled cases are less recent. One dates to the late 1970s, before Mahony was archbishop, and the other to 1986, not long after he assumed the post, Finaldi said.

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As part of the settlement, approved by a Los Angeles judge earlier this month, none of the parties admitted wrongdoing.

Finaldi said the settlement, together with the recent release of internal Church records documenting the role of Mahony and others in covering up child sexual abuse by the clergy, comes “as close to an admission of guilt as you're going to get from the archdiocese.”

A lawyer for the archdiocese, Michael Hennigan, confirmed a settlement in the amount of $9.99 million was reached. He added that the archdiocese “has always taken the position that we were responsible for the conduct of Michael Baker.”

Mahony has “admitted that he made serious mistakes in putting Michael Baker back in the ministry,” Hennigan said, but he denied that archdiocese officials were involved in a cover up.

Clergy were not legally required under California law to report suspected child abuse to authorities until 1997. Prior to that, Hennigan said, the policy of the archdiocese was to urge families of victims to go to law enforcement on their own.

Finaldi, however, disputed the notion that Mahony should be absolved of any obligation to alert authorities.

“You have a priest who is confessing that he sexually molested two kids, and you don't pick up the phone and call police? There's no reasonable excuse for not doing that,” he said.

Scandals over sex abuse in the US Catholic Church, which erupted in 1992 with a series of molestation cases uncovered in Boston, have cost the Church billions of dollars in settlements and driven prominent dioceses into bankruptcy.

The Los Angeles Archdiocese, which serves 4 million Catholics, reached a $660 million civil settlement in 2007 with more than 500 victims of child molestation, marking the biggest such agreement of its kind in the nation. Mahony at that time called the abuse “a terrible sin and crime.”

The archdiocese has reached a handful of settlements in other cases since then, but the one announced yesterday was by far the biggest, Finaldi added.

In a rare Church rebuke of a cardinal, Mahony was censured in late January by his successor, Archbishop Jose Gomez, and stripped of all public and administrative duties, as punishment for his role in the sex abuse scandal.

The censure followed the public release of over 12,000 pages of confidential files unsealed as part of previous civil suits, revealing how numerous known or suspected paedophiles in the clergy were shielded from law enforcement scrutiny by Mahony and other Church officials.

But Mahony retained his title as cardinal and his right to take part in the Vatican conclave that selects a new pontiff to replace retired Pope Benedict XVI, an authority he chose to exercise.

The resignation of one of Mahony's former top advisers, Thomas Curry, from his post as bishop of Santa Barbara was announced by the archdiocese in conjunction with the censure.

The Church personnel files released earlier this year revealed that in addition to sending abusive priests to a Church-run paedophile treatment centre in New Mexico, Mahony and Curry sought to keep priests from later revealing their misconduct to private therapists who would have been obligated to report molestation to police.

In one such memo about Baker's return to Los Angeles, Curry wrote to Mahony suggesting Baker avoid any mention of “his past problem” to a therapist after release from the Church treatment program, to which Mahony responded with the handwritten note: “Sounds good - please proceed!!”

Baker confessed his molestation of two boys to Mahony in 1986, early in Mahony's tenure as archbishop. After six months in treatment, he was placed back in the ministry in the Los Angeles area, supposedly in a job precluding any contact with children, Finaldi said.

But according to Finaldi, Baker was assigned to a residence attached to a church that also operated a school.