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It goes on to state two sections of bible verses. (emphasis mine)
The book of Matthew tells us what the greatest commandment is:
34 Hearing that Jesus had silenced the Sadducees, the Pharisees got together. 35 One of them, an expert in the law, tested him with this question: 36 “Teacher, which is the greatest commandment in the Law?” 37 Jesus replied: “‘Love the Lord your God with all your heart and with all your soul and with all your mind.’ 38 This is the first and greatest commandment. 39 And the second is like it: ‘Love your neighbor as yourself. 40 All the Law and the Prophets hang on these two commandments.” - Matthew 22:37-40
Then Paul in Romans tells us that love is the fulfillment of the law:
8 Let no debt remain outstanding, except the continuing debt to love one another, for whoever loves others has fulfilled the law. 9 The commandments, “You shall not commit adultery,” “You shall not murder,” “You shall not steal,” “You shall not covet,” and whatever other command there may be, are summed up in this one command: “Love your neighbor as yourself.” 10 Love does no harm to a neighbor. Therefore love is the fulfillment of the law. - Romans 13:8-10
What the devotional is saying is that when you love others, you will not want to sin against them. That is why love is the antidote to sin. If we love as Jesus loved and as God loves us sin will naturally disappear. Don't you agree?
I highly recommend the MacArthur Drawing Near Devotional as each month a new topic is covered. August was the month to talk about love. After reading the devotional for the day you have some parts of the Bible to read. You read from the Old Testament, Psalms/Proverbs and New Testament every day. The Psalms and New Testament are read twice during the year.