We prove existence of flips, special termination, the base point free theorem
and, in the case of log general type, the existence of minimal models for F-dlt
foliated log pairs of co-rank one on a projective threefold.
As applications, we show the existence of F-dlt modifications and
F-terminalisations for foliated log pairs and we show that foliations with
canonical or F-dlt singularities admit non-dicritical singularities. Finally,
we show abundance in the case of numerically trivial foliated log pairs.