Aven
Aven is a Hebrew word meaning "vanity" or "iniquity," and the UPDV uses it as a place-marker in three distinct settings: a Syrian valley, an Egyptian city otherwise called On, and a Northern Israelite shrine that Hosea pairs with Beth-aven and Bethel. The pattern across the three is consistent: Aven is the label for a site of forbidden or pagan worship, named so that the very toponym carries a verdict on it.
The Valley of Aven (Damascus Oracle)
In the Damascus oracle of Amos, Aven is a Syrian valley scheduled for depopulation: "And I will break the bar of Damascus, and cut off the inhabitant from the valley of Aven, and him who holds the scepter from the house of Eden; and the people of Syria will go into captivity to Kir, says Yahweh" (Am 1:5). The site is paired with the "house of Eden" and with Damascus itself; the cult of Aven there is part of the Aramean apparatus Yahweh dismantles in the oracle.
On / Aven in Egypt
The same word stands behind the name of On, the Egyptian sun-cult center. In Ezekiel's oracle against Egypt the UPDV translates it as On outright: "The young men of On and of Pibeseth will fall by the sword; and these [cities] will go into captivity" (Eze 30:17). Where older indices read "Aven" here, the UPDV preserves the Egyptian toponym.
Beth-aven and the High Places of Aven
In the Northern Kingdom material, Beth-aven ("house of vanity") is used as a polemical re-naming of Bethel, the rival shrine to Jerusalem. Hosea places it on the same forbidden axis as Gilgal: "Though you, Israel, are whoring, yet don't let Judah offend; and don't come⁺ to Gilgal, neither go⁺ up to Beth-aven, nor swear, As Yahweh lives" (Ho 4:15). The trumpet alarm of Hosea 5 sounds at the same site: "Blow⁺ the cornet in Gibeah, and the trumpet in Ramah: sound an alarm at Beth-aven; behind you, O Benjamin" (Ho 5:8). And Beth-aven's calf-cult is what neighboring Samaria mourns over: "The neighbor of Samaria will be in terror for the calves of Beth-aven; for its people will mourn over it, and its priests who rejoiced over it, for its glory, because it has departed from it" (Ho 10:5).
The bare form "Aven" then appears in the next chapter, in the verdict on those same shrines: "The high places also of Aven, the sin of Israel, will be destroyed: the thorn and the thistle will come up on their altars; and they will say to the mountains, Cover us; and to the hills, Fall on us" (Ho 10:8). The Aven of v. 8 is the Beth-aven of v. 5 with the "house" prefix dropped — the same calf-cult sanctuary, named only by its disgrace.
Beth-aven as Geographic Marker
In the older narrative books Beth-aven also functions as a neutral landmark, used to fix the location of Ai and the wilderness frontier. Joshua uses it twice: "And Joshua sent men from Jericho to Ai, which is beside Beth-aven, on the east side of Beth-el, and spoke to them, saying, Go up and spy out the land. And the men went up and spied out Ai" (Jos 7:2); and "And their border on the north quarter was from the Jordan; and the border went up to the side of Jericho on the north, and went up through the hill-country westward; and the goings out of it were at the wilderness of Beth-aven" (Jos 18:12). The Philistines encamp east of it in Saul's day: "And the Philistines assembled themselves together to fight with Israel, thirty thousand chariots, and six thousand horsemen, and people as the sand which is on the seashore in multitude: and they came up, and encamped in Michmash, eastward of Beth-aven" (1Sa 13:5). And the rout that follows is measured by it: "So Yahweh saved Israel that day: and the battle passed over by Beth-aven" (1Sa 14:23).
These earlier uses are simple toponymy — the polemical sting of "house of vanity" only sharpens once Hosea applies it to the calf-shrine.