Sharp Downpour

Both are mini dramas in which a female police officer and a FL with a personal connection/trauma team up to solve gruesome cases.

Both are contemporary-ish set police procedurals with two female leads that team up to solve cases (and are also looking into a cold case they have a connection to).

Both are police procedurals with two female leads that initially get on each other's nerves, but move in together and become close over the course of the series. While Duet of Shadows is set in the Republican Era, Sharp Downpour appears to be set around 2010.