RecruitingProcedurePeri-implantitis Management: Surgical and Maintenance OutcomesThe goal of this clinical trial is to learn how two standard surgical treatments for peri-implantitis affect inflammation around dental implants. Participants will be randomly assigned to receive resective surgery with implantoplasty or resective surgery with mechanical debridement only. Participants will provide blood samples before surgery, about 48 hours and 2 weeks after surgery. Participants will also provide a small gum tissue sample and fluid from around the implant at baseline and about 3 months after surgery. Participants will be followed in a maintenance program for up to 5 years.