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We may have caught LeAnn and her hubby Dean Sheremet downing tequila shots and snogging at a Santa Monica restaurant last week, but we're still not sure whether this married couple is even still together after LeAnn's cheating scandal that made headlines.

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After the on-again couple shared dinner at Marix last Wednesday, Dean and LeAnn left in separate cars.

And now, just yesterday, we spotted LeAnn doing some cardio WITHOUT her wedding ring on -- hmmm ....

Her alleged paramour, LeAnn's co-star Eddie Cibiran, denied the relationship but LeAnn seemed to own up to it in a blog post after the story broke.

So maybe LeAnn's not so over Eddie? Perhaps Ms. Rimes wants to have her cake and eat it too?!