In the formation of partnerships for the practice of veterinary medicine, no person shall be admitted as a partner who is not a member of the veterinary profession, duly authorized to practice, and amenable to professional discipline. No person shall be held out as a practitioner of veterinary medicine or a member of the firm who is not so admitted. In the selection and use of a firm name, no false or misleading name shall be used. Partnerships between veterinarians and members of other professions or nonprofessional persons shall not be formed or permitted if a part of the partnership employment consists of the practice of veterinary medicine.