/usr/lib/x86_64-linux-gnu/liblvm2app.so is in liblvm2-dev 2.02.176-4.1ubuntu3.
This file is owned by root:root, with mode 0o777.
It is a symlink to /lib/x86_64-linux-gnu/liblvm2app.so.2.2
/lib/x86_64-linux-gnu/liblvm2app.so.2.2