The provisions of Article 18 of the Labor Contracts Act as amended by the provisions of Article 2 (hereinafter referred to as the "New Labor Contracts Act") apply to a labor contract with a fixed term whose contract period begins on a day on or after the date on which the provisions prescribed in the proviso to the preceding paragraph come into effect, and the contract period of a labor contract with a fixed term whose first day is a day before the date on which the provisions prescribed in the proviso to that paragraph come into effect is not included in the total contract period prescribed in paragraph (1) of that Article.