Two brothers and their mother will spend Wednesday night behind bars after they allegedly participated in keeping an Afghan woman as a slave in Sydney's west, while she was married to one of the men.

A 39-year-old man, his 28-year-old brother and their 58-year-old mother were arrested by Australian Federal Police officers at a home in Merrylands on Wednesday, in the culmination of an investigation first launched in March last year.

Two brothers and their mother will spend Wednesday night behind bars. Credit:Kylie Pitt

Strict suppression orders made in the NSW Local Court on Wednesday prevent the identification of the three accused and their alleged victims.

It is alleged the two brothers and their mother played a role in forcing the woman into domestic servitude in Australia, before she was made to travel to Afghanistan on a one-way ticket in January last year.