This file is indexed.

/usr/share/applications/lyx.desktop is in lyx 2.0.2-1ubuntu2.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

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[Desktop Entry]
Version=1.0
Type=Application
Name=LyX Document Processor
GenericName=Document Processor
Comment=High level LaTeX frontend
Exec=lyx %F
TryExec=lyx
Icon=lyx
StartupNotify=false
StartupWMClass=Lyx
Terminal=false
Categories=Office;WordProcessor;Qt;
MimeType=text/x-lyx;application/x-lyx;