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We consider the long time behavior of the solutions to the Burgers-FKPP equation with advection of a strength ˇ 2 R. This equation exhibits a transition from pulled to pushed front behavior at ˇc D 2. We prove convergence of the solutions to a traveling wave in a reference frame centered at a position mˇ. t/and study the asymptotics of the front location mˇ. t/. When ˇ< 2, it has the same form as for the standard Fisher-KPP equation established by Bramson: mˇ. t/D 2t. 3= 2/log t C x1 C o. 1/as t! 1. This form is typical of pulled fronts. When ˇ> 2, the front is located at the position mˇ. t/D c. ˇ/t C x1 C o. 1/with c. ˇ/D ˇ= 2 C 2= ˇ, which is the typical form of pushed fronts. However, at the critical value ˇc D 2, the expansion changes to mˇ. t/D 2t. 1= 2/log t C x1 C o. 1/, reflecting the “pushmi-pullyu” nature of the front. The arguments for ˇ< 2 rely on a new weighted Hopf–Cole transform that allows one to control the advection term, when …