The word "defilements" refers to sinful behavior that makes one morally impure. The "world" refers to human society. AT: "the defiling practices of sinful human society" (See: [[rc://en/ta/man/translate/figs-metonymy]])
You can translate "knowledge" using a verbal phrase. See how you translated similar phrases in [2 Peter 1:2](../01/01.md). AT: "by knowing the Lord and Savior Jesus Christ" (See: [[rc://en/ta/man/translate/figs-abstractnouns]])
Peter speaks of life as a "way" or path. This phrase refers to living a life that is according to God's will. (See: [[rc://en/ta/man/translate/figs-metaphor]])
Peter uses two proverbs to illustrate how the false teachers, although they have known "the way of righteousness," have turned back to the things that make them morally and spiritually impure. (See: [[rc://en/ta/man/translate/writing-proverbs]])