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In this article, we introduce s-s-γ\gamma cover using the notion of star operator, which is an extension of the previous results on s-γ\gamma covers. We also define s-s-dense set to address the issue that a statistical dense subset of an s-s-γ\gamma cover is not an s-s-γ\gamma cover. Furthermore, we study some results on s-γ\gamma covers in subspace topology.