“Living in a House Divided” was released in February 1972, ahead of Cher’s eighth album Foxy Lady. The German single sleeve still advertises the previous album: originally released as Chér in September 1971, it was retitled to Gypsys, Tramps & Thieves. From Wikipedia:
The song’s lyrics discuss the separation of a couple, as a rather poignant descriptor of Cher’s marriage to then-husband, Sonny. Due to Cher’s feelings of resentment over Sonny’s control of both her life and her career, their marriage soured. They divorced two years after this song became a hit.