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Or HaChaim on Deuteronomy 31:17/אור החיים על דברים ל״א:י״ז

אוַעֲזַבְתִּים וְגוֹ׳ וְהִסְתַּרְתִּי פָנַי וְגוֹ׳. הַכַּוָּנָה כִּי אִם יִתֵּן ה׳ דַּעְתּוֹ לָדַעַת הַצָּרוֹת אֲשֶׁר יָבוֹאוּ עֲלֵיהֶם, יֶהֱמוּ רַחֲמָיו וִיסַלֵּק חֲרוֹן אַפּוֹ, לָזֶה הוּא מוֹדִיעַ כִּי יַסְתִּיר פָּנָיו, וּבָזֶה יִמְצָאוּהוּ צָרוֹת רַבּוֹת.
1 ועזבתים והסתרתי פני מהם, "and I will abandon them and hide My face from them, etc." The meaning is that if G'd were to allow Himself to dwell on the troubles which will befall His people, His mercy would be stirred and He would banish His anger. This is why He informs the people in advance that if they were to turn to idols, He, G'd, would turn His face away from them so as not to be tempted to show them compassion.
בוְאָמַר בַּיּוֹם וְגוֹ׳. פֵּרוּשׁ, שֶׁיְּשַׁעֲרוּ בְּדַעְתָּם לְרוֹב הַצָּרָה שֶׁרוֹאִין שֶׁאֵין זֶה אֶלָּא לְצַד הַסְתָּרַת פָּנַי מֵהֶם, וְהוּא אָמְרוֹ ״הֲלֹא״, פֵּרוּשׁ וַדַּאי שֶׁעַל שֶׁאֵין אֱלֹהַי בְּקִרְבִּי מְצָאוּנִי וְגוֹ׳, שֶׁאִם הָיָה בְּקִרְבִּי לֹא הָיוּ כָּל כָּךְ צָרוֹת בָּאִין עָלֵינוּ, וְצֵא וּלְמַד שֶׁאָמַר הַנָּבִיא (שופטים י,טז) ״וַתִּקְצַר נַפְשׁוֹ בַּעֲמַל יִשְׂרָאֵל״, כִּבְיָכוֹל.
2ואמר ביום ההוא, "and the people of Israel will say on that day, etc." They will be intelligent enough to conclude that all the troubles which suddenly overtook them must be due to G'd having deliberately left their midst. Had G'd not abandoned them it would be impossible that He would tolerate such treatment of His people. Compare what the prophet said in Judges 10,11. We gain the impression from there that G'd Himself had become fed up with the sufferings His people had to endure.