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Duchene was a point-per-game scorer — exactly 82 in 82 — in his second season with Dallas. He had just one goal and five assists in 16 playoff games as the Stars reached the Western Conference finals before losing to the Edmonton Oilers.
He had played on one-year, $3 million contracts in each of his two seasons with Dallas.
Duchene, 34, is going into his 17th season in the NHL. He has previously played for Colorado, Columbus, Ottawa and Nashville since making his debut in 2009.
The Associated Press and Field Level Media contributed to this report.