Final answer:
An LLC does not hold its owners personally accountable for the business's debts, providing them with limited liability protection, unlike sole proprietorships and partnerships.
Step-by-step explanation:
The type of business that does not hold owners accountable for the debts of the business is a Limited Liability Company (LLC). Unlike sole proprietorships and partnerships, where the owners' personal assets can be used to pay for the business debts, LLCs provide their owners with limited liability protection. This means that LLC owners are typically not personally responsible for business debts and liabilities.