Disclosed is a method for removing and purifying carboxylic acids from fermentation broths, comprising removing biomass and any solids present from the fermentation broth, finely cleaning up the biomass-free and solids-free fermentation broth by nanofiltration, and removing the carboxylic acid from the finely cleaned, biomass-free, and solids free fermentation broth by adsorption to one or more solid phases having tertiary amino groups.