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The effect of the two-state structure around $2300\\,\\text{MeV}$ can be clearly seen in the $(S,I)=(0,1/2)$ $D\\pi$, $D\\eta$, $D_s \\overline{K}$ correlation functions, while in the scalar-strange $(1,0)$ sector, the $D^\\ast_{s0}(2317)^{\\pm}$ state lying below the $DK$ threshold produces a depletion of the correlation function near threshold. 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The effect of the two-state structure around $2300\\,\\text{MeV}$ can be clearly seen in the $(S,I)=(0,1/2)$ $D\\pi$, $D\\eta$, $D_s \\overline{K}$ correlation functions, while in the scalar-strange $(1,0)$ sector, the $D^\\ast_{s0}(2317)^{\\pm}$ state lying below the $DK$ threshold produces a depletion of the correlation function near threshold. 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