They're actually both teachers.
( They ( ( ( 're actually ) ( both teachers ) ) . ) )
(ROOT (S (NP (PRP They)) (VP (VBP 're) (ADVP (RB actually)) (NP (DT both) (NNS teachers))) (. .)))
The are teachers together.
( The ( ( ( are teachers ) together ) . ) )
(ROOT (S (NP (NNP The)) (VP (VBP are) (NP (NNS teachers)) (ADVP (RB together))) (. .)))