In counties within the city of New York, the appointment of every deputy, assistant, clerk, employee or subordinate shall be made in writing and filed in the office of the clerk making the appointment before such deputy, assistant or other person shall enter upon the discharge of his duties. The number, duties and salaries of all such persons shall be fixed by the clerk of each such county, respectively, subject to revision by the board of estimate of the city of New York.

g. Notwithstanding any of the provisions of this section or of any other law, the number of deputy county clerks in Bronx, Kings and Queens counties or the salaries of any officers or employees provided for in this section may be increased by the board of estimate of the city of New York, provided that if such board increases either the number or salaries of any such deputy county clerks, officers or employees above the number or salaries provided for in this section, such board shall likewise have the power to decrease any such number or salaries to any number or salaries not lower than the number and salaries provided for in this section.