  Proton-deuteron elastic scattering is considered in the framework of
momentum-space Faddeev equations with the screening method for the Coulomb
interaction. It is shown how the interplay of the proton-proton Coulomb
potential and the deuteron pole in the neutron-proton transition operator leads
to coinciding singularities in the Faddeev equation. As a consequence, the
renormalization of the scattering amplitude is needed in the unscreened Coulomb
limit. This finding possibly explains why no need for the renormalization was
conjectured in a previous work [Wita{\l}a et al., Eur.~Phys.~J.~A 41, 369
(2009)] missing the coincidence of those singularities.
