Without a Trace
Overview
Without a Trace is an American television drama which originally ran on CBS
CBS
CBS Broadcasting Inc. is a major US commercial broadcasting television network, which started as a radio network. The name is derived from the initials of the network's former name, Columbia Broadcasting System. The network is sometimes referred to as the "Eye Network" in reference to the shape of...

 from September 26, 2002 to May 19, 2009. The series was set in New York City and concerned a fictitious FBI Missing Persons Unit
Federal Bureau of Investigation
The Federal Bureau of Investigation is an agency of the United States Department of Justice that serves as both a federal criminal investigative body and an internal intelligence agency . The FBI has investigative jurisdiction over violations of more than 200 categories of federal crime...

.
Each episode usually followed the search for one individual under tight time constraints. The stories also focused on the personal lives of the team members and illustrated how their various experiences gave them insight into certain cases.

The real FBI does investigate missing persons; specifically they have the authority to help in any "mysterious" disappearances of children abducted by non-family members.
 
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