Compare Hosea 3:5 and Jeremiah 30:9

"... Paronomasia may be present in the verb “will return” in comparison to the previous “will remain” (verse 4). The Israelites will certainly return geographically from exile (Deuteronomy 30:3–5). Additionally, however, “return” can have the sense of coming back in true faith to Yahweh (e.g., Deuteronomy 4:30) in contrast to “turning to other gods,” a necessary precursor to the return from exile. The oracle also predicts that Israel will “seek” Yahweh, i.e., come to God to know him and to do his will (compare Zephaniah 2:3; Zechariah 8:22; Malachi 3:1; etc.). Yahweh, the text says, will be “their God” once again, in the language of the first of the covenant restoration promises (Leviticus 26:44; 45). And David will be their king. With this theme 2:1–3 is closely connected. The prophets looked forward to a day when Israel, north and south, would be reunited (e.g., Jeremiah 31; Ezekiel 37; compare Deuteronomy 30:3, 4). The various successive dynasties that populated the northern monarchy were hardly the ideal—the Davidic dynasty alone remained chosen (1 Kings 11:13). The mention of David is not therefore to be regarded as an interpolation. It is another way of speaking of the “one leader” predicted in 2:2; i.e., a member of Davidic line. This is but a hint of the sort of messianic eschatology that will be more strongly manifest in later prophets (compare Jeremiah 30:9) ..."