A second day of jury selection began Friday in the murder trial of Rodney Clark, whose case will be the first local death penalty case to go to trial since a U.S. Supreme Court ruling found Florida’s old death penalty laws unconstitutional.

Prosecutors will pursue a death sentence against Clark, 50, if a jury convicts him of first-degree murder in the 1987 rape and murder of Dana Fader in Lake Worth.

Investigators in 2013 said they solved the decades-old cold case when they matched Clark’s DNA to a stain found on the dress the 27-year-old mother of three was wearing when she was found strangled to death in the backseat of her Ford Fairmont after a night out with friends.

Clark, a sex offender living in Jackson, Miss. by the time of his April 2013 arrest, was supposed to go to trial last summer. But his case became one of the first delayed by a January 2016 U.S. Supreme Court ruling essentially striking down Florida’s death penalty system.

The high court ruling deemed the state’s death penalty system unjust because it required a simple majority vote for jurors to recommend an execution and left the ultimate sentencing power to the judge. Florida lawmakers have made several revisions to the laws since then, with Florida Gov. Rick Scott in March signing a law that would require jurors to vote unanimously for a death sentence in order for it to be imposed.

Although public defenders and criminal defense lawyers still contend that the state law remains flawed, judges around the state — for now, at least — are taking cases like Clark’s to trial under the new laws.

Circuit Judge Charles Burton began the jury selection process in Clark’s case Thursday with 125 prospective jurors. By mid-afternoon, that pool had been whittled down to 48. Most of the people dismissed had travel plans, medical issues or other hardships that they said would keep them from spending three weeks on the jury.

Prosecutor and defense attorneys on Monday will begin questioning the remaining prospective jurors regarding their thoughts on the death penalty.

A trial in the case could begin sometime next week.