Approved answer

Just because someone approves something does not imply that they agree with it.

Thank you and I have known that approve and agree are synonymous so far. Could you elaborate on this issue and dose the meanings of them not overlap at all, or not just always, but sometimes they are used for the same meaning?

Thank you.

Suppose to have a job to approve applications for car loans. The company wants to give as many loans as possible, because creating the loan is profitable. So you approve them, even though you disagree with the policy, and would not otherwise approve some of the loans.

Approval is given in the context of law or policy. It does not mean that you have to agree with it.

Thank you so much but in just causal situations or general context or some native English speakers use the two words interchangeably or it could be possible, right?

http://dictionary.cambridge.org/dictionary/british/approve_2

Approve: to accept, allow, or officially agree