Stage Iiib Lung Non Small Cell Cancer Ajcc V7

This phase II trial studies how well osimertinib works in treating patients with non-small cell lung cancer with EGFR exon 20 insertion mutation that is stage IIIB-IV or has come back after a period of improvement (recurrent). Osimertinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth.

This phase II trial finds out the effect of local consolidative therapy and durvalumab in treating patients with stage III non-small cell lung cancer that has 3 or fewer lesions of progression (oligoprogressive) and greater than 3 lesions of progression (polyprogressive) after chemoradiation and anti-PD-l1 therapy. Local consolidative therapy, such as surgery and/or radiation, after initial treatment may kill any remaining tumor cells. Immunotherapy with durvalumab, may induce changes in body's immune system and may interfere with the ability of tumor cells to grow and spread. Giving local consolidative therapy and durvalumab may help to control the disease.