A U.S. appeals court upheld California's vote-by-mail laws, ruling that claims of vote dilution could not be substantiated by the plaintiffs, who failed to demonstrate that invalid ballots disproportionately favored any particular candidate. In Utah, the Supreme Court dismissed two challenges to Republican primary results, affirming incumbent Celeste Maloy's victory and rejecting claims regarding late-postmarked ballots and signature validity. Colby Jenkins, who lost the primary, contested the election results but could not prove the state laws were unconstitutional. Meanwhile, in Arizona, Kari Lake's appeal against her gubernatorial election loss was also denied, with the court stating she did not provide sufficient evidence of misconduct or new information to justify a review of her case. These rulings illustrate ongoing legal battles surrounding election integrity and the validity of various voting processes across states.