question regarding travel outside USA with GC filed ( I485 pending state)

[ostack1]

Hello Friends,
I am wondering if you can help me with the answer to my question -

Question:

My I140 for my green card is approved and I and my wife submitted the I485 , I131 and I765 in Jan 2017 , we had our fingerprinting done in Feb 2017 and
after that we don't received any update on I485, I131 and I765 , My wife is planning to visit her home country in April but We have not received the Travel documents yet.
Can you please confirm if she can travel without travel document?
If she travels without getting the travel document, will it impact her GC application and will she be allowed to enter again in US?

If she travels outside US with I485 in pending approval state and later if she is outside US and her I485 is approved , will she be allowed to enter US ?

Thanks in advance,
ostack

[newacct]

Does she have H1b/H4/L1/L2 status?