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\lipsum*[1]
\begin{tikzpicture}[remember picture,overlay]
\clip (current page.south west) rectangle (current page.north east);
\draw [line width=2pt] ([shift={(.5\pgflinewidth,.5\pgflinewidth)}]current page.south west) rectangle ([shift={(-.5\pgflinewidth,-.5\pgflinewidth)}]current page.north east);
\end{tikzpicture}
\lipsum[2-6]
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