Love covers the inner sin

במד' שנאה תעורר מדנים ועל כל פשעים תכסה אהבה כו'.

In the Midrash: "Hatred stirs up strife, but love covers over all transgressions" (Mishlei 10:12).

The Sefas Emes opens with the verse that love has the power to cover and atone for sins, and he will explain how this works within Bnei Yisrael.

הענין הוא דיש בכלל ישראל אהבה לאביהם שבשמים וכמו כן נמצא בכל פרט נקודה אחת שע"ז נאמר מים רבים לא יוכלו לכבות כו'.

The idea is that within Klal Yisrael as a whole there is a love for their Father in Heaven, and likewise within every individual there is a single point about which it is said, "Many waters cannot extinguish [the love]" (Shir HaShirim 8:7).

Each Jew has an inner nekudah (point) of love for Hashem that no flood of sin or temptation can ever put out.

אכן יש חטאים המסלקין זאת האהבה.

Indeed, there are sins that remove this love.

Yet certain aveiros are severe enough that they can actually drive away that inner love.

וזה הסימן שכ"ז שנשאר האהבה והתשוקה בלב איש ממילא לא הי' החטא בעצם הפנימיות רק במקרה.

And this is the sign: as long as the love and the yearning remain in a person's heart, then by definition the sin did not penetrate his essential inner self (penimiyus) but was only incidental.

If the love for Hashem survives the sin, that proves the sin never touched the person's core — it was only a surface, accidental lapse.

ואז על כל פשעים תכסה.

And then "love covers over all transgressions."

In such a case the surviving love itself covers over and atones for all his sins.

דקשה הלא הכל במשפט רק אותה אהבה הגדולה בלב האדם שגוברת על תאוות החטא שע"י החטא לא נתבטל ממנו האהבה.

For there is a difficulty: is not everything judged by strict justice? Rather, it is that very great love in a person's heart, which overpowers the craving of the sin, since through the sin the love was not nullified from him.

One might object that justice demands punishment regardless; the answer is that when love proves stronger than the pull of the aveirah, that very strength is itself reckoned in the judgment.

אז הדין נותן שתכסה על הפשעים.

Then the law itself requires that [the love] cover over the transgressions.

Strict justice itself rules that such enduring love must atone for the sins.

והנה אהרן הוא בחי' אהבה שבכלל ישראל לכן כיסה עליהם בעמוד הענן שהי' בזכותו של אהרן כמ"ש רז"ל.

Now Aharon is the aspect of the love within Klal Yisrael; therefore he covered over them with the Pillar of Cloud, which existed in the merit of Aharon, as Chazal taught.

Aharon embodies the collective love of Bnei Yisrael, and the Ananei HaKavod (Clouds of Glory) that sheltered them — given in his merit — express how love "covers over" the people.

וע"י החטא נפרדו בני ישראל מאהבה הראשונה.

And through the sin, Bnei Yisrael became separated from the original love.

The sin of the people cut them off from their first, primal love of Hashem.

אבל אהרן לא נפרד מהאהבה שלו.

But Aharon was not separated from his love.

Aharon, the embodiment of love, never lost his own connection of love to Hashem.

לכן על ידו חזרו כל בני ישראל ונתקרבו למקום ב"ה.

Therefore through him all of Bnei Yisrael returned and drew close to the Omnipresent, Blessed is He.

Because Aharon's love held firm, he became the conduit through which the whole nation could return and reconnect to Hashem.

גם בפרה נאמר כי ניתן לקנח חטא העגל.

So too regarding the Parah (Red Heifer) it is said that it was given to wipe away the sin of the Egel (Golden Calf).

The Parah Adumah serves to cleanse the residue of the sin of the Golden Calf.

ומה"ט שאין החטא של בנ"י בעצם ובפנימיות רק שנתלכלכו ויכולין להתקנח כמאמר אל תראוני שאני שחרחורת כו'.

And for this very reason — that the sin of Bnei Yisrael is not in their essence and inner core, but only that they became soiled and can be wiped clean — as in the verse, "Do not look upon me, that I am blackened" (Shir HaShirim 1:6).

Since the sin only dirties the surface and never reaches the penimiyus, it can be wiped away like a stain; Bnei Yisrael are "blackened" only on the outside.

ולכן הטהרה ע"י פרה שג"כ נעשית מבחוץ.

Therefore the purification is through the Parah, which likewise is performed from the outside.

Fittingly, the taharah of the Red Heifer works externally — sprinkling from without — matching a sin that is only external.

ולכן האומות שהחטא דבוק בנפשותם תמהים על טהרת פרה:

Therefore the nations, for whom sin is bound up in their very souls, are astonished at the purification of the Parah.

The nations, whose sin penetrates to their core, cannot grasp the Parah Adumah, because they cannot understand a purity that simply wipes away an external blemish.

Summary: Within every Jew lies an unquenchable inner point of love for Hashem; therefore sin only stains the surface and never the essence. This is why love "covers over" transgression, why Aharon's enduring love restored the nation, and why the external purification of the Parah Adumah — incomprehensible to the nations — can wipe Bnei Yisrael clean of the Egel.