We have provided an invoice to facilitate your gift.
( We ( ( have ( provided ( an ( invoice ( to ( facilitate ( your gift ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (PRP We)) (VP (VBP have) (VP (VBN provided) (NP (DT an) (NN invoice) (S (VP (TO to) (VP (VB facilitate) (NP (PRP$ your) (NN gift)))))))) (. .)))
We've given you an invoice to aid your gift. 
( We ( ( 've ( ( given you ) ( an ( invoice ( to ( aid ( your gift ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (PRP We)) (VP (VBP 've) (VP (VBN given) (NP (PRP you)) (NP (DT an) (NN invoice) (S (VP (TO to) (VP (VB aid) (NP (PRP$ your) (NN gift)))))))) (. .)))