Can you have two home equity lines at the same time? No. Under Texas law, you can generally have only one home equity line on the property at a time. Related articles Are there any origination, annual, or subsequent fees for Texas accounts? Can I get cash or checks? What is the Home Improvement Line (HIL) and what products are offered? What types of properties are eligible for an Aven line of credit in Texas? How do draws and future cash-outs work with my Texas account?