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We present preliminary results for the $K^*(892)$ and $\rho(770)$ resonances extracted from lattice QCD data using a Lüscher-type method across several phase shift models. We briefly review the techniques involved in our computation of correlation functions and extraction of energy levels from an RBC-UKQCD $N_f=2+1$ domain-wall fermion lattice with a physical pion mass. We consider lattice irreducible representations with only leading $P$-wave contributions and use the corresponding finite-volume spectra to constrain the elastic $K\pi$ and $\pi\pi$ scattering amplitudes. We study systematic errors resulting from the choice of fit ranges on the GEVP eigenvalues through a model-averaging technique.