Yes, the legal and government fees are included in the BDV costs. You do not need to find your own attorney or lawyer to assist with your EB3 process, this is a part of the BDV service.
Also included in the BDV Solutions fee is:
BDV Solutions Service Fee
USCIS Filing Fees (government fees)
I-140 / I-485 Legal Fees
I-140 Premium Processing Fee ($2,500 value)
Argo Visa Interview Preparation ($479 value)