Is there a connection between their adultery and murder?
Rashi: Amidst their adultery, they murdered.
Radak: No; the verse mentions their sins. This 'Ni'uf' is not a Mashal. They slept with their friends' wives. Yeshayah said "Yedeichem Damim Male'u" (Yeshayah 1:15). Yerushalayim was called "Ir ha'Damim" (above, 22:2).
What do we learn from "v'Es Giluleihen Ni'efu"?
Rashi: Their adultery was with their idols.
Radak: This 'Ni'uf' is a metaphor for idolatry. Just like an adulteress under her husband takes foreign men, Yisrael were Mezanah under Hashem, to take foreign gods to serve them.
How were they born to Hashem?
Radak: They were for My Avodah. They circumcised them on their eighth day and entered them into My Bris.
Malbim: They sanctified their children to Shamayim and to learn Torah. Even them, they passed through the fire to Ba'al, to be burned!
Did they feed their children to the idols?
Rashi: This was their murder (Hagahah ? they overtly spilled seed, and did not repent).
Radak: They passed them through a fire to idolatry (Malbim ? to Ba'al 1 ); the fire consumed them.
So it says in Yirmeyah 19:5. In the coming verse, Malbim says that they offered their children to Molech! This is like the opinion (in Sanhedrin 64a) that Molech is any [idol] that they made king over themselves. (PF)