A lawsuit accusing Duke and dozens of other universities of colluding to inflate tuition through their Early Decision admissions programs will now move forward after a federal judge rejected the University’s motions to dismiss the claims Friday. Plaintiffs alleged last August that a group of 32 selective private colleges and universities — including Duke — use Early Decision commitments to reduce competition. Students applying to universities in the Early Decision round make a binding agreement to attend the institution if they are accepted. In a separate ruling Friday, Kelley also rejected another October motion to dismiss the case filed by Duke and the non-Massachusetts defendants. As a result of Kelley’s rulings, the lawsuit will proceed, and Duke will face claims that its admissions process violates federal antitrust law.