I do not know where the idea comes from that Laughter and Tears (which contains no circus and no Jim) and Circus Jim are the same film but both are extant (one in Dutch and the other in English) and are quite clearly different films. Both films are seemingly directed by Doxat-Pratt and star Evelyn Brent and Adelqui Migliar. This film came out in 1921 and is a tale of Bohemian life in Venice and Circus Jim, which came out in 1922, is, as the name implies a melodrama set in a circus.
The Venice setting for this film is attractive but otherwise the strained, maudlin imitation of Scènes de la vie de Bohème is a bit of a trial as is Migliar's acting and the ending, which I shall not reveal, is just about as preposterous as any ending could possibly be. Circus Jim is a rather better film.