This file is indexed.

/usr/share/xsessions/gnome-classic.desktop is in gnome-shell-extensions 3.18.3-2.

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]
Name=GNOME Classic
Comment=This session logs you into GNOME Classic
Exec=gnome-session-classic
TryExec=gnome-session
Icon=
Type=Application
DesktopNames=GNOME-Classic;GNOME
X-Ubuntu-Gettext-Domain=gnome-shell-extensions