Can you identify this old movie?

It's an old black and white film, maybe from the thirties even. It's about a man wrongly accused of being a thief. Being on the run destroys his life and takes him away from his wife/fiancée. In the film's final scene he meets her one last time. She asks him how he survives, and he answers from the shadows: "I steal". By wrongly accusing him, society made him into what they falsely painted him as.