Absolutely!! There is none so sinful that they cannot be saved by the mercy, grace and power of God in Christ Jesus. The external call is for ALL. The internal efficacious call is given to the elect. He whom God calls will come and will be received in Christ through repentance and faith.

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Romans 8:29-30 (ASV) 29 For whom he foreknew, he also foreordained [to be] conformed to the image of his Son, that he might be the firstborn among many brethren: 30 and whom he foreordained, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified.

Romans 10:12-17 (ASV) 12 For there is no distinction between Jew and Greek: for the same [Lord] is Lord of all, and is rich unto all that call upon him: 13 for, Whosoever shall call upon the name of the Lord shall be saved. 14 How then shall they call on him in whom they have not believed? and how shall they believe in him whom they have not heard? and how shall they hear without a preacher? 15 and how shall they preach, except they be sent? even as it is written, How beautiful are the feet of them that bring glad tidings of good things! 16 But they did not all hearken to the glad tidings. For Isaiah saith, Lord, who hath believed our report? 17 So belief [cometh] of hearing, and hearing by the word of Christ.
We have the assurance that bringing the Gospel is never in vain, for God is the Sovereign LORD who brings all things to pass according to His good pleasure. For He has not only ordained the end but also the means to that end. One man plants another waters, but it is the LORD who brings the increase (1Cor 3:5-9).

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simul iustus et peccator

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