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We investigate the possible rescattering effects which may contribute to theprocess $B^+\to J/\psi\phi K^+$. It is shown that the $D_{s}^{*+}D_{s}^-$rescattering via the open-charmed meson loops, and $\psi^\prime \phi$rescattering via the $\psi^\prime K_1$ loops may simulate the structures of$X(4140)$ and $X(4700)$, respectively. However, if the quantum numbers of$X(4274)$ ($X(4500)$) are $1^{++}$ ($0^{++}$), it is hard to to ascribe theobservation of $X(4274)$ and $X(4500)$ to the $P$-wave threshold rescatteringeffects, which implies that $X(4274)$ and $X(4500)$ could be genuineresonances. We also suggest that $X(4274)$ may be the conventional orbitallyexcited state $\chi_{c1}(3P)$.

How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$