  The effective field theory approach is applied to the three-nucleon process
of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective
range parameters summed at all orders. This is achieved through a modification
of the power counting, following a recent suggestion in the literature. It is
shown that with this procedure, while the convergence of the loop integrals
improves, one cannot meaningfully include a three-body effective term to
describe low-energy data affected by the presence of the triton bound state.
