I own an LLC in TX and just moved to Cali and want to keep the LLC in TX and not have to register a foreign LLC in CA. I don't own any assets in CA, is that possible?

My LLC is currently not making any money and I just want to avoid paying the $800 fee California charges annually. Again I have no business assets currently in CA and my business is 100% online. The question is 1) can I operate the LLC without registering a foreign LLC and 2) can I still claim some of my business expenses on my tax return?