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The last time they were higher than 18th was a season earlier than that when they were No. 11 to start the year.
The Buckeyes went 20-15 last season and advanced to the second round of the NCAA tournament for the second season in a row.
The highest they were ranked last seasons as 13th in late December, but a long January losing streak knocked them out of the rankings for the rest of the season.
Hopes are high for this season as third-year coach Chris Holtmann welcomes back leading scorer Kaleb Wesson as well as a highly-regarded freshman class.
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The Buckeyes open the regular season at home against Cincinnati on Nov. 6 against Cincinnati.
They face Cedarville in an exhibition game Oct. 30.
The Bearcats received votes in the preseason poll while six Ohio State opponents made the top 25: No. 1 Michigan State, No. 2 Kentucky, No 7 Maryland, No. 9 North Carolina, No. 10 Villanova and No. 23 Purdue.
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