Aqueous laundry detergent compositions containing surfactants and fatty acid, having a pH of from about 6 to about 11 and containing a polymer having a number average molecular weight of from about 700,000 to about 4,000,000 and comprising monomeric units including: nonionic monomers selected from acrylamide, N,N-dialkyl acrylamide, methacrylamide, N,N-dialkylmethacrylamide, hydroxyalkyl acrylate and vinyl pyrrolidone, vinyl acetate, vinyl alcohol, and mixtures thereof; cationic monomers selected from N,N-dialkylaminoalkyl methacrylate, N,N-dialkylaminoalkyl acrylate, N,N-dialkylaminoalkyl acrylamide, N,N-dialkylaminoalkylmethacrylamide, methacylamidoalkyl trialkylammonium chloride, acrylamidoalkylltrialkylammonium chloride, vinylamine, quaternized vinyl imidazole and diallyl dialkyl ammonium chloride, and mixtures thereof; and anionic monomers selected from acrylic acid, methacrylic acid, maleic acid, vinyl sulfonic acid, styrene sulfonic acid, acrylamidopropylmethane sulfonic acid (AMPS), salts thereof, and mixtures thereof; in a specified mole ratio.