8:1-2 What exactly does Paul mean by what he says here?

This is Paul's testimony to the indwelling power of the Holy Spirit in believers to overcome sin. It is a continuation of his teaching in Ro 6 and 7 of how God through Christ has broken sin's power over believers and they no longer have to yield themselves to their old sinful nature.

This is the normal Christian life under the full provision of the gospel, and is further proof that what Paul described in Ro 7 was not his post-conversion experience of sin's power under grace as many in the church believe, but his pre-conversion experience under the law (CP Ro 7:7-25).

Condemnation in Ro 8:1 refers to the future punishment of unbelievers (CP Rev 20:11-15). Believers are not under condemnation because they no longer seek to gratify fleshly desires like they did before they were saved, as Paul described in Ro 7.

Believers are now led by the Spirit and do the things that please God. This does not mean that they do not sin. Christians can, and do spontaneously sin, but they no longer habitually sin (CP Ro 6:1-7, 12-18; 7:4-6; Ga 5:16-18; Eph 2:1-7; Col 2:6-13; 3:1-11; 1Jn 3:6-9; 5:4, 18).

This is not teaching that once saved means always saved, as many contemporary Christians believe. Notwithstanding they are under grace, Christians must always confess and repent of sins they have committed (CP 1Jn 1:6-10; 2:1-6).

If a believer goes back into sin and is not able to be converted again, then their end will be worse even than that of unbelievers (CP Lu 12:47-48; He 6:4-8; 10:26-31; 2Pe 2:20-22). The "law of the Spirit of life in Christ Jesus" in Ro 8:2 refers to the liberating force of the Holy Spirit setting believers free from the law of sin and death - empowering believers to say no to sin (CP 2Cor 3:17; 10:3-5; Eph 6:10-18).

The law of the Spirit of life in Christ Jesus is not a written law, but a regulative principle emanating from the Holy Spirit which energises or activates believers to desire, and to do, God's will (CP Ro 6:17-18; 7:4-6; 12:1-2, 21; 1Cor 3:9; 6:19-20; Php 2:12-13; Col 3:1-10, 12-17). The "law of sin and death" is the controlling power of sin which places a person under bondage to sin and subject to the penalty of eternal damnation (CP Ro 7:14, 23 with 6:16).

See comments on all Ro 6 questions, also Ro 3:9, 5:12-14, 7:4, 7:7-23, 8:1-2, 8:3-4; Ga 5:17; Jas 4:5 and 1 Jn 3:6-9 and author's studies Romans 6 - a Study on God's Empowering of Believers through Jesus Christ to Overcome Sin in his book Advanced Studies in the Christian Faith (Volume 1),

The Power of God in Christians to Overcome the Devil, The Doctrine of Grace and Regeneration and Sanctification Defined in his book Advanced Studies in the Christian Faith (Volume 2), and What being Born Again Means in his book Foundational Truths of the Christian Faith.

"Romans"