Partnerships have higher risk for members, but their management can disclose a lot less and the taxes are lower. Limited/limited liability partnerships represent a compromise.
In a limited partnership, one or more of the partners has unlimited liability ("general partners") and the others have liability limited to their equity stake in the firm ("limited partners"). A limited partnership is indicated by the initials "LP" after the name, e.g. Apollo Management, LP.
In a limited liability partnership, all members have limited liability; specifically, the other partners of the LLP are shielded from torts for malpractice against the other partners, BUT they are legally responsible for financial claims against the whole organization. LLP liability varies somewhat by state law (several US states do not permit LLP's at all), and somewhat by the terms of the LLP agreement for that particular partnership.
Apologies to Urban Dictionary for an error in the definition of private equity fund and hedge fund: both types of fund are almost never LLP's; they are often limited partnerships (LP's).