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Most of it boils down to supply/demand, but too succinct falls apart on further examination:
Chip shortages (mostly due to ordering for 2021 in 2020 based on early covid demand drop) is a proximate cause of new car shortages and price levels, but not most of the used car shortages or inflation (lack of lease returns, rental car companies dumping inventory in early 2020 then revenge buying in early 2021, some substitute-buying by new car purchasers, the Carvanas and Vrooms of the world 2x-3x their balance sheets with inventory, auction prices riding to the ceiling and then bouncing).
The shortages are with us until inventory and production can meet demand: we have seen some signals that used car inventory is getting there (high demand model shortages continue), for new cars I wouldn’t expect any deals that resemble 2019 before 2022.