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Lee Smith, who spent 1996 with the Reds and collected 478 saves over his special 18-year career, also came up short in his 15th and final year on the ballot. Smith was named on 151 of the 442 ballots cast (34.2 percent), falling well below the 75 percent required for election.
The Hall of Fame Class of 2017 will include Jeff Bagwell, Tim Raines and Ivan Rodriguez. Bagwell received 381 votes (86.2 percent), while Raines followed with 380 votes (86 percent) and Rodriguez with 336 votes (76 percent).
Renteria, who completed his 16-year big league career with the Reds in 2011, received two votes (0.5 percent). Cabrera, Cameron and Rhodes received zero votes.
Cabrera batted .263 in 2011 during his lone season with Cincinnati and was the starting shortstop on its National League Central division winning club. He was teammaets with Rhodes, a lefty reliever who had a 2.41 ERA in 135 appearances with the Reds from 2009-10 as part of his 20-year career.
Cameron batted .256 with 21 home runs during his one season for the Reds in 1999. Following that season, he was among four players Cincinnati traded to the Mariners for Ken Griffey Jr., who was elected to the Hall of Fame last year.
Mark Sheldon has covered the Reds for MLB.com since 2006, and previously covered the Twins from 2001-05. Follow him on Twitter @m_sheldon and Facebook and listen to his podcast. This story was not subject to the approval of Major League Baseball or its clubs.