Trametinib and Pembrolizumab in Treating Patients With Recurrent Non-small Cell Lung Cancer That Is Metastatic, Unresectable, or Locally Advanced

Inclusion Criteria: * Histologically or cytologically confirmed diagnosis of metastatic or unresectable, locally advanced, recurrent NSCLC that has been previously treated (subjects who have failed adjuvant or locally advanced therapy within 6 months are also eligible to participate in the study) * The subject has biopsy accessible tumor and is willing to undergo biopsy prior to planned protocol treatment * Confirmation of the presence or absence of EGFR mutations and ALK gene fusions prior to study enrollment in all subjects except for patients with histologies other than adenocarcinoma and NSCLC, not otherwise specified (NOS), as the frequency of these alterations is exceedingly rare in this histology. Subjects with known EGFR sensitizing mutational status or ALK fusion must have been treated and progressed on EGFR TKIs or ALK-directed therapy, or with tumors harboring EGFR T790M mutation to have received and progressed on therapy directed at the T790M mutation (e.g. osimertinib). Subjects with known ROS1 translocation must have been treated and progressed on ROS1-directed therapy * Measurable disease according to RECIST 1.1 and irRECIST. At least one lesion of at least 1.0 cm in the long-axis diameter for a non-lymph node or at least 1.5 cm in the short-axis diameter for a lymph node which is serially measurable according to RECIST 1.1 and irRECIST using either computed tomography (CT) or magnetic resonance imaging (MRI). If there is only one target lesion and it is a non…