A method of controlling undesirable vegetation in cultures of crop plants, which comprises allowing a composition comprising: a) a herbicide compound A, which is Imazamox; and b) an adjuvant B, which is b2) an anionic surfactant selected from aliphatic monocarboxylates, aliphatic oligocarboxylates, sulfonamidocarboxylates, aliphatic or aromatic sulfates, polyethersulfates, amidopolyethersulfates, sulfated carboxylates, carbonic acid glycerides, or carbonic esters, aliphatic or aromatic sulfonates, sulfonated carboxylic esters or carboxylic amides, sulfosuccinic acid esters, polyethersulfonates, polyether phosphates or phosphate ester of polyalkoxylated fatty alcohol, polyether sulfate and polyalkoxylated derivatives of compounds of the formula R 1 X n, wherein the polyalkoxylate residue is terminated by a residue Y, and wherein R 1 is selected from aliphatic or aromatic residues having at least eight carbon atoms; X is selected from hydroxy, -O-(C 1 -C 6 -alkyl), -O-(C 3 -C 6 -alkenyl), amine, amide, or ester; n is 1, 2, 3, 4, 5, or 6; and Y is selected from carboxylate, sulfonate, sulfate, phosphate, or phosphonate; and wherein the weight ratio of the herbicide compound A and the adjuvant B is from 2:1 to 1:60; to act on plants to be controlled or on their habitat, and where the crop plant is selected from a) sunflowers containing an herbicide tolerance trait of the CLHA-Plus trait, having an AHASL (acetohydroxyacid synthase large subunit) with an A122( At)T substitution, or an AHASL variant thereof that contains both the A122( At)T substitution and a second substitution that can be one or more of P197Q, P197S, T203I, T203X, A205D, A205V, W574L, A653N, A653T, A653F, or A653V. b) sunflowers containing two herbicide tolerance traits, both the CLHA-Plus trait (AHASL-A122( At)T) and a second AHASL trait, selected from an AHASL with an A205( At)V substitution or an AHASL with a P197( At)L substitution. a) a herbicide compound A, which is Imazamox; and b) an adjuvant B, which is b2) an anionic surfactant selected from aliphatic monocarboxylates, aliphatic oligocarboxylates, sulfonamidocarboxylates, aliphatic or aromatic sulfates, polyethersulfates, amidopolyethersulfates, sulfated carboxylates, carbonic acid glycerides, or carbonic esters, aliphatic or aromatic sulfonates, sulfonated carboxylic esters or carboxylic amides, sulfosuccinic acid esters, polyethersulfonates, polyether phosphates or phosphate ester of polyalkoxylated fatty alcohol, polyether sulfate and polyalkoxylated derivatives of compounds of the formula R 1 X n, wherein the polyalkoxylate residue is terminated by a residue Y, and wherein R 1 is selected from aliphatic or aromatic residues having at least eight carbon atoms; X is selected from hydroxy, -O-(C 1 -C 6 -alkyl), -O-(C 3 -C 6 -alkenyl), amine, amide, or ester; n is 1, 2, 3, 4, 5, or 6; and Y is selected from carboxylate, sulfonate, sulfate, phosphate, or phosphonate; and wherein the weight ratio of the herbicide compound A and the adjuvant B is from 2:1 to 1:60; a) sunflowers containing an herbicide tolerance trait of the CLHA-Plus trait, having an AHASL (acetohydroxyacid synthase large subunit) with an A122( At)T substitution, or an AHASL variant thereof that contains both the A122( At)T substitution and a second substitution that can be one or more of P197Q, P197S, T203I, T203X, A205D, A205V, W574L, A653N, A653T, A653F, or A653V. b) sunflowers containing two herbicide tolerance traits, both the CLHA-Plus trait (AHASL-A122( At)T) and a second AHASL trait, selected from an AHASL with an A205( At)V substitution or an AHASL with a P197( At)L substitution.