'Advance' in the Bible

Now I want you to know, believers, that what has happened to me [this imprisonment that was meant to stop me] has actually served to advance [the spread of] the good news [regarding salvation].

For the others [who deserted me after my arrest] all seek [to advance] their own interests, not those of Jesus Christ.

But you know of Timothy’s tested worth and his proven character, that he has served with me to advance the gospel like a son serving with his father.