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I want to create a section in which the text appears in three columns, its similar to a table with three columns and one row, but without any outlines, and multi-line text. How can I do this?

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I've used tabularx out of convenience since it provides an easy-to-use X-column. The reduction of 25pt is to avoid an overfull \hbox from being set; since it's a heading, it didn't seem to require such precision.

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\documentclass{article}
\usepackage{tabularx}
\begin{document}

\section{Introduction}

\section[Absurd section heading]
  {\begin{tabularx}{\dimexpr\linewidth-25pt}[t]{@{}XXX@{}}
    \raggedright Some very long text in the far left column & 
    \centering Some very long text in the centre column & 
    \raggedleft Some very long text in the far right column
   \end{tabularx}}

\end{document}

Note the use of the optional parameter for the sectional unit. This may be necessary if you are using a \tableofcontents.

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