The Braves (98-58) have won 11 straight division titles but have been to the World Series just once in the last six years. To get back to the Fall Classic, Jones must provide lineup protection for slugger Gary Sheffield and Moss must serve as an effective fourth starter behind Tom Glavine, Greg Maddux and Kevin Millwood.
Jones hit solo homers off rookie Brett Myers in the second and fourth and a two-run shot off Jose Santiago in the eighth for his 17th career multi-homer game. It was the first three-homer game by a Brave since Jeff Blauser did it against the Chicago Cubs 10 years ago.
Moss (12-6) allowed a first-inning homer by Placido Polanco but not much else. The rookie lefthander gave up five hits and two walks while striking out five.
Atlanta needs one win to clinch the National League's best record and home-field advantage throughout the NL playoffs.
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