Question Text. Some people have accepted Christ but they keep sinning and don`t feel convicted. How is that? Are they really saved? If we confess with our mouths but don`t change our hearts are we saved?
Answer Text The message which our Lord preached is to repent and believe in the gospel(Mk.1:15). Faith with out repentance is like that of the devils`. Js.2:19 says that devils also believe and tremble. It goes on to say that faith which does not show itself in life (i.e. in a transformed life) is a dead faith.
Now in your question you have quoted verses from the Bible and you know what it says. Why should you doubt what those verses tell us so clearly? That exactly is the clear teaching of the Bible. I have a Catholic friend who is now corresponding with me. That person believes that if some one confesses a particular sin to a priest, the person can go on living in that sin again! I have asked that person to give me the Scripture which teaches that particular doctrine!! I am yet to get an answer. I am sure that person would never be able to answer me.
1John talks about people who say spiritual things. (1Jn 1:6) `If we say that we have fellowship with Him and walk in darkness, we lie and do not practice the truth`. (1Jn 2:4) `He who says, I have known Him, and does not keep His commandments, is a liar, and the truth is not in him`. (1Jn 2:6) `He who says he abides in Him ought himself also to walk even as He walked`. (1Jn 2:9) `He who says he is in the light and hates his brother is in darkness until now`. (1Jn 4:20) `If anyone says, I love God, and hates his brother, he is a liar. For if he does not love his brother whom he has seen, how can he love God whom he has not seen?`
The sign of being saved is a transformed life. `If any man be in Christ, he is a new creation; old things are passed away, behold every thing is new` (1Cor.5:17). Some one confessing with mouth but does not have a change of heart is NOT a saved person. No one accepting Christ as Lord can ever continue to live a life of sin!!
Yet it is tragically true that there could be people living like the one of whom we read in 1Corinthinans 5:1-5. Such would be brought under the chastening of the Lord here and now that their souls may be saved on the day of the Lord Jesus. 1Cor.11:29-32 teach us that believers who part take of the Lord`s supper unworthily would also be brought under divine chastening as well. Thus the Scripture gives the responsibility to a saved person to live a life acceptable to Him after being saved. May the Lord give us grace for His glory. Amen