A 73-year-old woman is admitted to the hospital with a mild UGI hemorrhage that stopped spontaneously. She did not require transfusion. She had ingested large amounts of aspirin in the past 4 months to relieve the pain caused by severe rheumatoid arthritis. Endoscopy confirms the presence of a duodenal ulcer. A biopsy is done. What is the next step in the management of a duodenal ulcer associated with a positive biopsy for H. pylori?