"It says a lot about just how resilient we are, and how hard we're working at this," Jones said.
"Chase made it really difficult on me. He's one of the best in the sport, so I knew it was going to be difficult.
We were all on old tires -- that was a blast to slide around and duel it out like that."
Behind the front pair, Jesse Love finished third, while Brent Crews and Austin Hill took fourth and fifth, respectively.
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With this result, Jones moved from eighth to sixth in the O'Reilly drivers' championship, trailing leader Justin Allgaier by 265 points after 20 races.