Conversion is a process not an event.
Being born is a one time event. Just as we are born once we are born again once, when our hearts are changed from a heart of stone to a heart of flesh and we are made new creations in Christ and place our faith in Christ. At the same moment we are adopted as a child of God.
Being converted is a moment of change. That internal spiritual change produces profound changes in our loves and and our actions. For the first time, we are truly free to love God and others, beyond natural/emotional love, which is a mere shadow of the love we have in Christ. Taking up our cross and following Christ daily isn't being converted daily. It is a result of having already been converted.
For some of us, that moment of change is dramatic. We may have never been exposed to the gospel or may have been in church our entire life, but never have trusted in Christ. The Holy Spirit convicts us of our sins and we become broken and call on the Lord to forgive us and deliver us from our sinfulness and our lives are never the same.
For others, who were taught to believe at an early age and had a life of faith modeled for us by our parents and church, we may never remember a life before conversion. We can't remember a time we didn't believe in Jesus on some level. As we have matured our child like faith grew into a mature faith.
For others, conversion comes slowly as people share the gospel with them, model Christian character for them, and they investigate the claims of the gospel, which culminates in the Holy Spirit overcoming any objections and the person placing their faith in Christ. Which is the moment of conversion.
One doesn't become a Christian by remaining in Christ, one remains in Christ because one is a Christian (born again, adopted, changed). You have to be part of the vine(converted) before you can remain in the vine(live by faith) and produce fruit (by faith working through love).