On a DEPT-135 Spectrum, any carbons that are not bonded to protons will not have peaks.  Since solvent carbons are bonded to deuterium – not protons – those carbons will not have peaks either.

The protonated impurity in the solvent will have a small carbon peak on the DEPT135 spectra, but as a singlet rather than a multiplet.  And that peak will have a slightly different chemical shift than its deuterated counterpart due to isotope effect.