In order to understand this it would be helpful to know (among other things) why the deportation orders were issued in the first place.
Had these individuals overstayed their tourist visa and, if not, what triggered the deportation orders?
Were any of them in Argentina for 6/7 years?
If not, is it possible to get a precaria (legal residency) much sooner than 6/7 years, i.e., once a deportation order has been issued?