Methods and compositions are provided for inducing phagocytosis of a target cell, treating an individual having cancer, treating an individual having an intracellular pathogen infection (e.g., a chronic infection), and/or reducing the number of inflicted cells (e.g., cancer cells, cells infected with an intracellular pathogen, etc.) in an individual. Methods and compositions are also provided for predicting whether an individual is resistant (or susceptible) to treatment with an anti-CD47/SIRPA agent. In some cases, the subject methods and compositions include an anti-MHC Class I/LILRB1 agent. In some cases, the subject methods and compositions include an anti-MHC Class I/LILRB1 agent and an anti-CD47/SIRPA agent (e.g., co-administration of an anti-MHC Class I/LILRB1 agent and an anti-CD47/SIRPA agent). Kits are also provided for practicing the methods of the disclosure.