/usr/lib/x86_64-linux-gnu/libxvidcore.so.4 is in libxvidcore4 2:1.3.2-9ubuntu1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libxvidcore.so.4.3
/usr/lib/x86_64-linux-gnu/libxvidcore.so.4.3