  In this paper, we revisit the problem of finite-time blowup for a
multi-dimensional nonlocal transport equation studied in [Dong, Adv. Math. 264
(2014) 747-761]. Inspired by a one-dimensional analogous model considered in
[Li-Rodrigo, Adv. Math. 374 (2020) 1-26], we establish a new weighted nonlinear
inequality implying the blow-up by a completely real variable based technique.
