The district attorney's office had declined to press criminal charges and Logrip was investigated by the archdiocese.
Those results were submitted to the Archdiocesan Professional Responsibility Review Board, comprising 12 men and women, both Catholic and non-Catholic, with backgrounds in the investigation and treatment of child sexual abuse.
That board acts as an advisory committee to Archbishop Charles J. Chaput, who decided Logrip "is suitable for ministry based on unsubstantiated allegations that he sexually abused minors over 20 years ago," according to Sunday's statement from the archdiocese.
The announcement was criticized by the Survivors Network of those Abused by Priests. Its director, David Clohessy, said in a statement that the archdiocese hadn't provided enough information about its decision to exonerate Logrip.
"Catholics, citizens and children deserve better," he said. "Whatever became of Chaput's repeated pledges to be 'open and transparent' about clergy sex cases? Where's a real explanation of what Msgr. Logrip did and didn't do?"
Logrip, 67, was ordained in 1972. He also has served parishes in Yardley, North Wales, Plymouth Meeting, Norristown, Philadelphia, Levittown and Exton.