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We present results of a study of the decay$J/\psi\rightarrow\omega\eta\pi^+\pi^-$ using a sample of$(225.2\pm2.8)\times10^6$ $J/\psi$ events collected by the BESIII detector, andreport the observation of a new process of $J/\psi\rightarrow \omega X(1870)$in which X(1870) decays to $a_0(980)\pi$. The statistical significance of thisprocess is larger than $7.2\sigma$. Signals for $J/\psi\rightarrow \omegaf_1(1285)$ and $J/\psi\rightarrow \omega\eta(1405)$ are also observed in$\eta\pi^+\pi^-$ spectrum, with statistical significances much larger than$10\sigma$.

Study of resonant structure around 1.8 GeV/$c^2$ and $\eta(1405)$ in $J/\psi\rightarrow\omega\eta\pi^+\pi^-$