Upon further consideration, it is apparent that both avodahs—the “aliyot” to the Torah and the offering of the lambs—alluded to by the two sets of sixteen teeth totaling ל"ב —possess the incredible capacity to cleanse and purify the heart of the yetzer hara. Regarding the sixteen “aliyot,” which are a part of Torah-study, HKB”H told Yisrael (Kiddushin 30b): "בני בראתי יצר הרע ובראתי לו תורה תבלין, ואם אתם עוסקים בתורה אין אתם נמסרים בידו"—My son, I have created the yetzer hara, and I have created Torah as its antidote. If you engage in Torah-study, you will not be delivered into its hand. The sixteen lamb-offerings also subdue the yetzer hara, as stated in the Midrash Tanchuma (Pinchas 13): A person never stayed overnight in Yerushalayim with an outstanding transgression. How so? The morning “tamid” atoned for the transgressions committed during the night; while the evening “tamid” atoned for the transgressions committed during the day.
Therefore, we utter the words of prayer on Shabbas: "וטהר לבנו"—that our hearts be purified in the merit of the 16 “aliyot” to the Torah and the 16 korbanos of lambs, totaling ל"ב, which are completed on Shabbas. Once freed of the corruption of the heart caused by the yetzer hara, we are able "לעבדך באמת"—to serve You earnestly and truthfully.