JACKSON, Miss. — Another group is challenging a Mississippi law that will let workers cite their own religious objections to same-sex marriage to deny services to people.

Campaign for Southern Equality and two lesbian couples filed papers Tuesday to reopen their 2014 federal lawsuit that overturned Mississippi’s definition of marriage as only between a man and a woman.

Their filing comes a day after a gay couple and the American Civil Liberties Union filed a lawsuit challenging the new religious-objections bill set to become law July 1.

Roberta Kaplan, lead attorney in the Campaign for Southern Equality case, is asking a judge to order Mississippi to issue marriage licenses to same-sex couples without delay. She also seeks to compel the state to release names of clerks who recuse themselves from issuing such licenses.