Here, we fully combine the GW and implicit solvation approaches by incorporating a full-frequency description of the solvent polarizability into the screened coulomb potential. This approach is generalizable to any solvation model, and applicable to systems of any dimensionality and charge state described with the joint DFT approach. We demonstrate this approach using the nonlocal solvation model, the spherically-averaged liquid susceptibility ansatz (SaLSA), which includes no empirical parameters in the screening response, accurately describes neutral and charged surfaces in solution, and as we show here, facilitates a convenient representation of the frequency-dependent solvent polarizability for GW calculations. We show using GW calculations that solvent screening strongly affects the frontier orbital energies in small molecules due to the complicated nature of their self-energies, and thereby modifies the HOMO-LUMO gaps of solvated molecules by several eV. Finally, we implement these methods by interfacing the widelyused open-source software packages for GW and solvated DFT, BerkeleyGW and JDFTx 34 respectively, in order to facilitate widespread application of solvated beyond-DFT methods for electrochemistry.