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Greene (elbow) will throw a bullpen session Thursday, Charlie Goldsmith of The Cincinnati Enquirer reports.

It would appear to be the first time he's thrown off a mound since he went down with right elbow inflammation in mid-August. As long as Greene gets through Thursday's bullpen session with no hiccups, he will have another one Sunday. The righty will continue to be built back up as he aims to rejoin the Reds' rotation before the end of the season, but he would appear to still be at least a couple weeks away.

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