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Lindsay Lohan concocted a diabolical, fraudulent plan to defraud an L.A. boutique out of thousands of dollars ... according to a lawsuit that will be filed today.

TMZ has obtained a copy of the suit, in which Tough as Nails -- a boutique that sells expensive clothes, jewelry, and accessories -- claims Lindsay shopped at the store between November, 2009 and February, 2010.

According to the suit, Lindsay racked up a bill of $17,060.83 and convinced the owners her business manager would pay the bill.  But much to the chagrin of the owners, Lindsay's business manager paid a grand total of $180.

The suit, which will be filed in L.A. County Superior Court, alleges Lindsay "had no intention of causing her business manager to pay the entire balance."

And there's this -- the suit claims the boutique owners relied on Lindsay's "well known status as a movie actress with substantial income."  Wrong on both counts.

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The owners say Lindsay committed premeditated fraud and are seeking the balance -- $16,880.63 -- plus interest and punitive damages.

Yes, we see the 20 cent differential -- but that's the way it appears in the lawsuit. Apparently, the shop is giving LiLo a credit.

No comment from Lindsay's camp..

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