In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P , then its Alexandroff Duplicate space A(X) may not have P , where P is one of the following properties: extremally disconnected, weakly extremally disconnected, quasi-normal, pseudocompact. We prove that if X is α-normal, epinormal, or has property wD, then so is A(X). We prove almost normality is preserved by A(X) under special conditions. 2010 MSC: 54F65; 54D15; 54G20.