Hybrid nanofluids benefit from an induced magnetic field, particularly renewable energy. In this study, a hybrid nanofluid's thermal transport across an extending/withdrawal surface was studied by suction and caused magnetic effects. An Ag-MgO/H2O nanofluid is a water-based solution comprising silver (Ag) together with magnesium oxide (MgO) nanoparticles. Using a suitable similarity transformation, the PDEs are transformed within a system of ODEs. The simplified mathematical model is unraveled using MATLAB's bvp4c solver. Each of the controllable factors has a direct impact on the temperature and velocity outlines, local Nusselt numbers, and skin friction coefficients (SFC). Nusselt number drops as the induced magnetic unsteadiness and heat absorption/generation parameters rise. Increases in the concentration of Ag nanoparticles in MgO/water nanofluid were shown to enhance the local Nusselt number. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.