When the molestation was found out the first time, Mr. and Mrs. Duggar basically did nothing. It was when it was happening again, they sent Josh away to a fellow church member to do some construction work and mentorship by the fellow church member for about four months. After returning from "counseling", Josh was then brought by his father to the Arkansas State Police to get a "stern talking to" from a deputy. The deputy didn't do any follow up on Josh's abuse after that meeting. All of this occurred in the 2002-2005 timeframe, and the Duggar family specials started in 2005 by Discovery Health in what would later spinoff the now
19 Kids and Counting show on TLC.
In 2006, Oprah Winfrey was going to do an interview with the Duggar family until Harpo Studios received an anonymous email about Josh's sexual misconduct. Harpo Studios claims the sender was a "61 year old woman". Oprah then cancelled the interview, and promptly filed a report with the Arkansas Department of Human Services to see into the complaint. Hence why there is a 2006 report in existence, and supposedly a Celebrity Gossip magazine got a hold of a copy through FOIA. A judge ordered the record expunged because one of Josh's victims claim her name is on the report, but the gossip magazine claims the version they have is redacted of all victims' names.
In any event, that is primarily why there isn't much a paper trail of the sexual abuse that occurred. The Duggars tried to skirt around having to deal with law enforcement when they found out what Josh was doing. What about the trooper that gave a stern talking to Josh and nothing else?
Joseph T. Hutchens is currently serving a 60 year sentence for possession and distribution of child pornography while on parole from 2010 for the violation of, you guessed it, possession and distribution of child pornography.