WCF Chapter 30, Of Church Censures, speaks directly to Paul's commands in verses 14-15. The confession states that church censures are necessary for the reclaiming and gaining of offending brethren, for deterring others from like offenses, for purging out of that leaven which might infect the whole lump, for vindicating the honor of Christ and the holy profession of the gospel, and for preventing the wrath of God. Withdrawal is not abandonment. It is love protecting what Christ purchased, and it carries the hope that the distance itself will do what words could not reach.
WLC Question 141, in its treatment of the eighth commandment, affirms that diligence in one's calling is a positive duty owed to God and neighbor. Sitting idle when able-bodied is not a passive failure. It is a quiet theft of household provision and of church resources that should be going to widows and orphans rather than to those who could work but choose not to. The catechism locates this duty in creation itself, not merely in cultural expectation.
WCF Chapter 26, Of the Communion of Saints, provides the broader framework for everything Paul commands here. Saints have fellowship with one another in love, and this fellowship carries practical obligations: performing such offices as tend to their mutual good, both in the inward and outward man. The peace Paul prays for in verse 16 is not a feeling. It is the fruit of a body walking in genuine communion, bearing one another's burdens, confronting sin in love, and staying when it would be easier to leave.