4 The verb simply says “they called,” but it is a feminine plural. And so the women who engaged in immoral acts with Hebrew men invited them to their temple ritual.
5 What Israel experienced here was some of the debased ritual practices of the Canaanite people. The act of prostrating themselves before the pagan deities was probably participation in a fertility ritual, nothing short of cultic prostitution. This was a blatant disregard of the covenant and the Law. If something were not done, the nation would have destroyed itself.

In other versions

These invited the people to the sacrifices of their gods, and the people ate and bowed down to their gods.

who invited them to the sacrifices to their gods. The people ate the sacrificial meal and bowed down before these gods.

The women invited them to the sacrifices for their gods, and the people ate and bowed in worship to their gods.

These women invited them to attend sacrifices to their gods, so the Israelites feasted with them and worshiped the gods of Moab.

And they invited the people to the sacrifices of their gods, and the people ate and worshiped their gods.

And they called the people unto the sacrifices of their gods: and the people did eat, and bowed down to their gods.

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