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By introducing the method of decomposition of almost automorphic sequence, we give some results on the almost automorphy of bounded solutions for the second-order neutral differential equations with piecewise constant argument $$ (x(t)+px(t-1))''=qx([t])+f(t),quad tinmathbb{R}, $$ where [.] denotes the greatest integer function, $p, q$ are nonzero constants, and f(t) is almost automorphic. Some examples illustrate our results.