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In this paper,we study the long time well-posedness of 2-D MHD boundary layer equation.It was proved that if the initial data satisfies ‖(u0,h0-1)‖Hμ3,0∩Hμ1,2 ≤ ε,then the life span of the solution is at least of order ε2-ηfor η＞ 0.