Missing (2009)

Both films detail a young girl who is kidnapped, held captive, and subjected to torture by a single man.

Both films detail a young girl(s) who is kidnapped, held captive, and subjected to torture by a man.

Both movies are:

a: Based on true stories.
b: Involve the murder of a woman/women.
c: Involve police trying to catch the killer(s).
d: Occur in rural settings with one on a farm and the other near a village and railway track.

How they differ:

MCOPPR is:

a: Thai.
b: Gang rape and murder.
c: 1970s crime that was eventually solved.

Missing:

a: Korean.
b: Involves a psycho serial killer that has murdered multiple women, I believe, including a much loved sister. He attempts to do the same to the other one when she stumbles across his sadistic path when searching for her missing sibling.
c: Graphic violence shown is quite brutal.