A liquid laundry detergent composition, comprising: (a) a cationic polymer which is either: a copolymer that consists essentially of: (i) from 70 mol% to 90 mol% of a first, nonionic structural unit; and (ii) from 10 mol% to 30 mol%, of a second, cationic structural unit; or: a terpolymer that consists essentially of: (i) from 65 mol% to 90 mol% of the first, nonionic structural unit; (ii) from 10 mol% to 20 mol% of the second, cationic structural unit; and (iii) from 1 mol% to 20 mol%, of a third, nonionic structural unit; wherein: the first, nonionic structural unit made from (meth)acrylamide (AAm); the second, cationic structural unit is made from a monomer selected from the group consisting of diallyl dimethyl ammonium salts (DADMAS), N,N-dimethyl aminoethyl acrylate, N,N-dimethyl aminoethyl methacrylate (DMAM), [2-(methacryloylamino)ethyl]tri-methylammonium salts, N,N-dimethylaminopropyl acrylamide (DMAPA), N,N-dimethylaminopropyl methacrylamide (DMAPMA), acrylamidopropyl trimethyl ammonium salts (APTAS), methacrylamidopropyl trimethylammonium salts (MAPTAS), quaternized vinylimidazole (QVi), and combinations thereof; and the third, nonionic structural unit that is different from the first, nonionic structural unit and is made from a monomer which is vinylpyrrolidone; wherein said cationic polymer is characterized by a Weight Average Molecular Weight of from 10,000 to 1,000,000 Daltons and is free of any silicone-derived structural component; and (b) a surfactant system comprising: (i) from 20% or more, by total weight of said surfactant system, of a C 10 -C 20 linear or branched alkylethoxy sulfate having an average degree of ethoxylation ranging from 0.3 to 4; (ii) from 1% to 45%, by total weight of said surfactant system, of a C 10 -C 20 linear alkyl benzene sulphonate; and (iii) from 1% to 45%, by total weight of said surfactant system, of a C 8 -C 18 alkyl alkoxylated alcohol having an average degree of alkoxylation from 1 to 20, wherein the weight ratio of AES to LAS is equal to or greater than 1.2, and wherein the weight ratio of AES to NI is equal to or greater than 1.2. (a) a cationic polymer which is either: a copolymer that consists essentially of: (i) from 70 mol% to 90 mol% of a first, nonionic structural unit; and (ii) from 10 mol% to 30 mol%, of a second, cationic structural unit; or: a terpolymer that consists essentially of: (i) from 65 mol% to 90 mol% of the first, nonionic structural unit; (ii) from 10 mol% to 20 mol% of the second, cationic structural unit; and (iii) from 1 mol% to 20 mol%, of a third, nonionic structural unit; wherein: the first, nonionic structural unit made from (meth)acrylamide (AAm); the second, cationic structural unit is made from a monomer selected from the group consisting of diallyl dimethyl ammonium salts (DADMAS), N,N-dimethyl aminoethyl acrylate, N,N-dimethyl aminoethyl methacrylate (DMAM), [2-(methacryloylamino)ethyl]tri-methylammonium salts, N,N-dimethylaminopropyl acrylamide (DMAPA), N,N-dimethylaminopropyl methacrylamide (DMAPMA), acrylamidopropyl trimethyl ammonium salts (APTAS), methacrylamidopropyl trimethylammonium salts (MAPTAS), quaternized vinylimidazole (QVi), and combinations thereof; and the third, nonionic structural unit that is different from the first, nonionic structural unit and is made from a monomer which is vinylpyrrolidone; wherein said cationic polymer is characterized by a Weight Average Molecular Weight of from 10,000 to 1,000,000 Daltons and is free of any silicone-derived structural component; and the first, nonionic structural unit made from (meth)acrylamide (AAm); the second, cationic structural unit is made from a monomer selected from the group consisting of diallyl dimethyl ammonium salts (DADMAS), N,N-dimethyl aminoethyl acrylate, N,N-dimethyl aminoethyl methacrylate (DMAM), [2-(methacryloylamino)ethyl]tri-methylammonium salts, N,N-dimethylaminopropyl acrylamide (DMAPA), N,N-dimethylaminopropyl methacrylamide (DMAPMA), acrylamidopropyl trimethyl ammonium salts (APTAS), methacrylamidopropyl trimethylammonium salts (MAPTAS), quaternized vinylimidazole (QVi), and combinations thereof; and the third, nonionic structural unit that is different from the first, nonionic structural unit and is made from a monomer which is vinylpyrrolidone; wherein said cationic polymer is characterized by a Weight Average Molecular Weight of from 10,000 to 1,000,000 Daltons and is free of any silicone-derived structural component; and (b) a surfactant system comprising: (i) from 20% or more, by total weight of said surfactant system, of a C 10 -C 20 linear or branched alkylethoxy sulfate having an average degree of ethoxylation ranging from 0.3 to 4; (ii) from 1% to 45%, by total weight of said surfactant system, of a C 10 -C 20 linear alkyl benzene sulphonate; and (iii) from 1% to 45%, by total weight of said surfactant system, of a C 8 -C 18 alkyl alkoxylated alcohol having an average degree of alkoxylation from 1 to 20, wherein the weight ratio of AES to LAS is equal to or greater than 1.2, and wherein the weight ratio of AES to NI is equal to or greater than 1.2.