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If this is happening to newly-drawn objects, you must have somehow gotten your THICKNESS System Variable set to 2. Type THICKNESS and tell it to use 0, or type in (setvar 'thickness 0).
Are you running any custom-defined commands that could include a change of that setting? It's saved independently in each drawing, so if it happens to newly-drawn objects in existing drawings when you open them, and you haven't run any custom commands that might be setting that, then there must be something like an ACADDOC.LSP file containing something that is doing it for you. Look for the file location with (findfile "acaddoc.lsp"), and open it in Notepad and search for any reference to Thickness. Or in the APPLOAD dialog box, look at what's listed [if anything] in the Startup Suite contents, and if anything is there, investigate those files, too.
If, however, things in existing drawings that were not thick before are turning out to have thickness just by virtue of getting into the drawing, and it's not only newly-drawn things, then I don't have any ideas other than the possibility that someone is playing a prank on you. But if they are, it should be found by the investigation mentioned above -- it would presumably be something like a CHANGE or CHPROP command assigning a Thickness of 2 to everything in the drawing. It could also be done with AutoLisp code that would include something like (ssget "_X" ... ) to find everything, then any of a handful of ways it could force thickness on things. But the word "thickness" [in any case combination] should be in there somewhere to find.
Kent Cooper, AIA