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In the preprint arXiv:2110.08210, some comments on our paper recentlypublished in JHEP \textbf{09} (2021) 053 have been made. Since some of thecomments are completely wrong and others are quite misleading, we decide toclarify the relevant issues in a formal reply. First of all, nothing is wrongabout our calculations and physical results in the original paper. Second,there is no logical gap to fill at all. The fact that the $N$-dimensionalunitary group over the field of complex numbers ${\rm U}(N,\mathbb{C})$ is nota linear algebraic group is actually irrelevant for the validity of theMolien-Weyl formula. As we shall explain in this reply, all the comments inarXiv:2110.08210 arise from the misunderstanding and misinterpretation of ourdiscussions and results.

Reply to "Comment on 'Flavor invariants and renormalization-group equations in the leptonic sector with massive Majorana neutrinos'"