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Blake Lively says she's lost a boatload of money as a result of Justin Baldoni 's alleged smear campaign against her ... and now she's asking a judge to award her $161 million in damages!

According to new court docs, obtained by TMZ ... Blake's attorneys claim the actress lost a whopping $56.2 million in earnings -- past and future -- from her acting and producing gigs, as well as speaking engagements and endorsements. Getty

The lawyers also claim Baldoni's reported mudslinging financially hurt Blake's haircare brand, Blake Brown, to the tune of $49 million ... along with her drink company, Betty Buzz/Betty Booze, which lost $22 million. They also say Blake took a $34 million hit to her reputation after she found 65 million negative impressions about her on social media.

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