A way to reduce such overly costly computations is to employ a classical (electrostatic) method for the embedding region, including, i.a., approaches in which the environment of an electronically active region is replaced by a polarizable continuum , or when it is represented by a classical, molecular mechanics parametrization (MM) . The GW-BSE formalism allows for different approaches to include such classical environmental polarizabilities. The one that we will review first is conceptionally very similar to the GW-BSE-in-DFT embedding, in the sense that the environment response is directly included in the calculation of the screened Coulomb interaction W both in the GW and the BSE stages of the calculations. Later, we will also discuss alternative subtractive and additive quantum-classical approaches, which use total energies of coupled systems as introduced earlier rather than modifying the screened Coulomb interaction directly.