And, ''inside'' the chroot, set the <tt>DISPLAY</tt> and <tt>XAUTHORITY</tt> variables as directed by the setup script and copy the <tt>"$AUTH"</tt> file from outside the chroot into the chroot to the path assigned to <tt>"$XAUTHORITY"</tt>.
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And, ''inside'' the chroot, set the <tt>DISPLAY</tt> to <tt>localhost:1</tt>.