Attorneys for Monsanto said in court documents filed late Tuesday that DeWayne Johnson failed to prove that Roundup or similar herbicides caused his non-Hodgkin's lymphoma.
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They said there was no evidence that Monsanto executives were malicious in marketing Roundup.
A jury last month determined that Roundup contributed to Johnson's cancer, and Monsanto should have provided a label warning of a potential health hazard.
It awarded Johnson $39 million in compensatory damages and $250 million in punitive damages.
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Johnson's lawsuit is among hundreds alleging Roundup caused cancer.
His case was the first one to go to trial.