Process for the production of compositions comprising A) from 0 to 98 parts by weight, based on the entirety of A and B, of one, or a mixture of a plurality of, thermoplastic polymer(s) different from B and B) from 2 to 100 parts by weight, based on the entirety of A and B, of B1) at least one graft polymer produced by the emulsion polymerization process, B2) optionally at least one graft polymer produced by the bulk, suspension, or solution polymerization process, B3) optionally at least one rubber-free vinyl (co)polymer, and C) from 0 to 30 parts by weight, based on the entirety of A and B, of at least one commercially available polymer additive, where the sum of the parts by weight of A and B gives a total of 100, characterized in that (i) component B comprises at least one inorganic salt composed of a cation selected from the group of the alkali metals, alkaline earth metals, and aluminum, and of an anion selected from the group consisting of chloride, sulfate, nitrate, phosphate, acetate, and formate, at a concentration of from 100 to 5000 mg/kg, based on the entire composition, and a) in a first step the entire component(s) comprising the salt is(are) fully treated with water via contact with liquid water or with an atmosphere comprising water vapor, b) in a second step the component(s) thus treated with water is(are), optionally together with a portion or the entirety of components A and C, and also of the remaining quantities of component B of the composition, melted and, in the molten state, kneaded, and c) optionally in a third step the component thus prepared is mixed with the remaining components of the composition, the mixture is again melted and kneaded, and the components of the mixture are thus dispersed into one another, where at least in one of the steps b) or c) a pressure that is below atmospheric pressure by at least 200 mbar is applied, and thus the water introduced in the step a) into the process is in turn removed from the product, and where the exposure time of component(s) B comprising the salt in step a) to water or water vapor is at least 10 h and not longer than 500 h, and where component(s) B comprising the salt take(s) the form of pellets. A) from 0 to 98 parts by weight, based on the entirety of A and B, of one, or a mixture of a plurality of, thermoplastic polymer(s) different from B and B) from 2 to 100 parts by weight, based on the entirety of A and B, of B1) at least one graft polymer produced by the emulsion polymerization process, B2) optionally at least one graft polymer produced by the bulk, suspension, or solution polymerization process, B3) optionally at least one rubber-free vinyl (co)polymer, and at least one graft polymer produced by the emulsion polymerization process, B2) optionally at least one graft polymer produced by the bulk, suspension, or solution polymerization process, B3) optionally at least one rubber-free vinyl (co)polymer, and C) from 0 to 30 parts by weight, based on the entirety of A and B, of at least one commercially available polymer additive, where the sum of the parts by weight of A and B gives a total of 100, characterized in that (i) component B comprises at least one inorganic salt composed of a cation selected from the group of the alkali metals, alkaline earth metals, and aluminum, and of an anion selected from the group consisting of chloride, sulfate, nitrate, phosphate, acetate, and formate, at a concentration of from 100 to 5000 mg/kg, based on the entire composition, and (i) component B comprises at least one inorganic salt composed of a cation selected from the group of the alkali metals, alkaline earth metals, and aluminum, and of an anion selected from the group consisting of chloride, sulfate, nitrate, phosphate, acetate, and formate, at a concentration of from 100 to 5000 mg/kg, based on the entire composition, and a) in a first step the entire component(s) comprising the salt is(are) fully treated with water via contact with liquid water or with an atmosphere comprising water vapor, b) in a second step the component(s) thus treated with water is(are), optionally together with a portion or the entirety of components A and C, and also of the remaining quantities of component B of the composition, melted and, in the molten state, kneaded, and c) optionally in a third step the component thus prepared is mixed with the remaining components of the composition, the mixture is again melted and kneaded, and the components of the mixture are thus dispersed into one another,