Officers received the complaint of a potential sex offense on February 18, 2014.
Police spoke with the 13-year-old victim, who said she met Elmer Edgardo Acosta, 21, of Frederick, on the social media website Facebook.
The investigation revealed Acosta and the young girl began having a relationship, which turned sexual in nature.
On Tuesday, March 4, Acosta was located in the 1400 block of Key Parkway and was arrested without incident.
Acosta faces two counts of second-degree rape and one count of second-degree sex offense.
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