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I am now writing my thesis and have a problem occurring in some pages. The problem regards full justification of text. LaTeX sometimes fails to fully justify text and break lines. In other words, the text steps into the right margin. Please, how to solve this troubling problem? Any help is greatly appreciated.

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Welcome to TeX.sx! Please add a minimal working example (MWE) that illustrates your problem. –  Corentin Sep 29 '12 at 18:46
A possibility would be to use \sloppy at the begin of the paragraph where the text run in the margin and use \fussy for after the paragraph, see also tex.stackexchange.com/q/73586/16895 –  Guido Sep 29 '12 at 20:03
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closed as too localized by doncherry, Werner, Thorsten, lockstep, Marco Daniel Oct 31 '12 at 6:52

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Using the microtype package will help you with that, it tweaks hyphenation here and there and results in fewer overfull boxes (that's what these words sticking into the right margin are called).

Also, make sure you loaded babel with the language option appropriate for your document. Typically, I'd load babel before microtype.

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