2. children remember--Instead of forsaking the idolatries of their fathers, they keep them up (Jer 7:18). This is given as proof that their sin is "graven upon . . . altars" (Jer 17:1), that is, is not merely temporary. They corrupt their posterity after them. CASTALIO less probably translates, "They remember their altars as (fondly as) they do their children."
      groves--rather, "images of Astarte," the goddess of the heavenly hosts, represented as a sacred tree, such as is seen in the Assyrian sculptures (2Ki 21:7; 2Ch 24:18). "Image of the grove." The Hebrew for "grove" is Asherah, that is, Assarak, Astarte, or Ashtaroth.
      by the green trees--that is, near them: the sacred trees (idol symbols) of Astarte being placed in the midst of natural trees: "green trees" is thus distinguished from "groves," artificial trees. HENDERSON, to avoid taking the same Hebrew particle in the same sentence differently, "by . . . upon" translates "images of Astarte on the green trees." But it is not probable that images, in the form of a sacred tree, should be hung on trees, rather than near them.

JFB.