We discuss a coupled channel analysis of the etapi and eta'pi systems produced in pi(-)p interactions at 18 GeV/c. We show that known Q(-)Q resonances, together with residual soft meson-meson rescattering, saturate the spectra including the exotic J(PC)=1(-+) channel. The possibility of a narrow exotic resonance at a mass near 1.6 GeV/c(2) cannot, however, be ruled out.