Every Christian in that room is a “convert”.
They may not be your convert (but who cares). They may have converted years ago (but again.. so what?!). They may have converted as a child in a family that never knew a day when they weren’t a convert (praise Jesus!). But they are all converts. Every soul in that room is someone who God, my the majesty of his Holy Spirit has chosen before the beginning of time to drag into his love in Christ.
We need to keep preaching the gospel to ourselves and remember this, so that we don’t loose heart. So that we don’t fall into the trap of thinking that God saves this nice bunch of people because they turn up every few weeks or so.
Rather, we need to remind ourselves, and our congregations, “If God saved me, the wretch I am, he can save others.”