"When liberty is mentioned, we must always be careful to observe whether it is not really the assertion of private interests which is thereby designated"

In this quote, Hegel is alerting us to be skeptical of claims that something is promoting liberty or liberty. He recommends that frequently, what is existing as liberty is really just somebody promoting their own personal program or interests, rather than promoting for the typical excellent or more comprehensive flexibility for everyone. In essence, he is advising us to inspect claims of liberty or freedom to guarantee that they are genuinely serving a simply and unbiased purpose.