In a curable composition that contains at least one polymer having at least one terminal group of the general formula (I) -An-R—SiXYZ  (I), at least one cyclic compound that contains at least one structural motif of formula (II) as a constituent of the ring structure; and at least one cyclohexanedicarboxylic acid dialkyl ester in which the alkyl residues of the ester groups each, mutually independently, contain 1 to 20 carbon atoms. The curable composition can be used as an adhesive, sealant, and/or coating material. A combination of a cyclohexanedicarboxylic acid dialkyl ester, in which the alkyl residues of the ester groups each, mutually independently, contain 1 to 20 carbon atoms and a cyclic compound that contains at least one structural motif of the general formula (II) as a constituent of the ring structure, as a plasticizer/curing catalyst system in curable compositions.