The New Mexico Supreme Court is weighing whether to strike down local abortion restrictions by conservative cities and counties at the request of the attorney general for the state where abortion laws are among the most liberal in the country.

Oral arguments were scheduled for Wednesday in Santa Fe. At least four state supreme courts are grappling with abortion litigation this week in the aftermath of the U.S. Supreme Court’s decision last year to rescind the constitutional right to abortion.

In New Mexico’s Lea and Roosevelt counties and the cities of Hobbs and Clovis, where opposition to abortion runs deep, officials argue that local governments have the right to back federal abortion restrictions under a 19th century U.S. law that prohibits the shipping of abortion medication and supplies. They say the local abortion ordinances can’t be struck down until federal courts rule on the meaning of provision within the “anti-vice” law known as the Comstock Act.

Attorney General Raúl Torrez has argued that the recently enacted local laws violate state constitutional guarantees — including New Mexico’s equal rights amendment that prohibits discrimination based on sex or being pregnant.