Beersheba was another site (see study note on Amos 4:4) with connections to the patriarchal era (for example, Abraham, Genesis 21:33; 22:19). It had become a shrine.
Gilgal … exile: This phrase uses wordplay based on alliteration (the repetition of similar sounds). In Hebrew, the words hagilgal galoh yigleh sound alike. Together, they connect the place name Gilgal with the idea of going into exile.