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We first briefly review the state-of-the-art of the large $N_f$ gauge-fermiontheories and then show that the claim made in the paper by Alanne, Blasi andDondi that "The singularities in the $\beta$ function and in the fermion massanomalous dimension are simultaneously removed providing no hint for a UV fixedpoint in the large-N limit" is unwarranted. This is so since the author'struncation of the beta function violates the large number of matter fieldscounting.

Comment on "A critical look at $\beta$-function singularities at large $N$" by Alanne, Blasi and Dondi