Exegesis:

emeinen de Mariam sun autē ‘and Mary stayed with her.’

menō ‘to stay,’ ‘to remain,’ here in the meaning of ‘to stay for a visit.’

de marks the transition from the hymn to the resumption of the narrative which began in v. 39.

hōs mēnas treis ‘about three months’; accusative of temporal extension or duration and indicating the length of Mary’s visit.

hōs here ‘approximately’; the phrase implies that Mary stayed with Elizabeth till about the birth of John the Baptist, but Luke does not state explicitly that she was still present when the birth took place.

kai hupestrepsen eis ton oikon autēs ‘and she returned to her (own) home.’

hupostrephō ‘to turn back,’ ‘to return.’

Translation:

With her, i.e. ‘with Elizabeth’ (Bible de Jérusalem), or, ‘at Elizabeth’s’ (Balinese), ‘in Elizabeth’s house’ (Javanese), or simply, ‘there’ (Tae,’ Batak Toba).

For about cf. on 9.14.

And, or, ‘then,’ ‘next,’ ‘after that.’

Quoted with permission from Reiling, J. and Swellengrebel, J.L. A Handbook on the Gospel of Luke. (UBS Handbook Series). New York: UBS, 1971. For this and other handbooks for translators see here . Make sure to also consult the Handbook on the Gospel of Mark for parallel or similar verses.