Processes wash out less color from artificially colored hair and comprise artificially coloring hair by applying a dye composition, comprising at least one hair dye, onto the hair, rinsing the dye composition off from the artificially colored hair, improving color stability of the artificially colored hair by washing the artificially colored hair, one or more times, with an aqueous cleansing composition, and drying the artificially colored hair or leaving the artificially colored hair to dry. The aqueous cleansing composition comprises at least three anionic surfactants and at least one non-ionic surfactant mixed together in water and is free of amphoteric surfactants.
