Incorporation of artificial 3rd base pairs (unnatural base pairs, UBPs) has emerged as a fundamental technique in pursuit of expanding the genetic alphabet. 2,6-Dimethyl-2H-isoquiniline-1-thione: D5SIC (DS) and 2-methoxy-3-methylnaphthalene: DNAM (DN), a potential unnatural base pair (UBP) developed by Romesberg and colleagues, has been shown to have remarkable capability for replication within DNA. Crystal structures of a Taq polymerase/double-stranded DNA (ds-DNA) complex containing a DS-DN pair in the 3' terminus showed a parallelly stacked geometry for the pre-insertion, and an intercalated geometry for the post-insertion structure. Unconventional orientations of DS-DN inside a DNA duplex have inspired scientists to investigate the conformational orientations and structural properties of UBP-incorporated DNA. In recent years, computational simulations have been used to investigate the geometry of DS-DN within the DNA duplex; nevertheless, unresolved questions persist owing to inconclusive findings. In this work, we investigate the structural and dynamical properties of DS and DN inside a ds-DNA strand in aqueous solution considering both short and long DNA templates using polarizable, and non-polarizable classical MD simulations. Flexible conformational change of UBP with major populations of Watson-Crick-Franklin (WCF) and three distinct non-Watson-Crick-Franklin (nWCFP1, nWCFP2, nWCFO) conformations through intra and inter-strand flipping have been observed. Our results suggest that a dynamical conformational change leads to the production of diffierent conformational distribution for the systems. Simulations with a short ds-DNA duplex suggest nWCF (P1 and O) as the predominant structures, whereas long ds-DNA duplex simulations indicate almost equal populations of WCF, nWCFP1, nWCFO. DS-DN in the terminal position is found to be more flexible with occasional mispairing and fraying. Overall, these results suggest flexibility and dynamical conformational change of the UBP as well as indicate varied conformational distribution irrespective of starting orientation of the UBP and length og DNA strand.