Can Lithium and Ibuprofen interaction result in neurological toxicity without kidney damage?

Hi doctor,

I am a 27-year-old female. I have been taking Lithium 1200 mg for five years. Last year, I got an injury and it required regular pain management. So I was told to take Ibuprofen at a maximum dose. Within a week, I developed ataxia, muscle weakness, and spasticity, memory loss, polyuria, incontinence, tremors, blue hands, chest pain, weakness, and inability to lift my legs. I was referred for an evaluation for multiple sclerosis and Parkinson's disease. My symptoms began to get reduced when I stopped taking NSAIDS. I have prescribed them again at a maximum dose after surgery and I was hospitalized for the same symptoms. My kidney function was normal. I was unaware that NSAIDS can cause serious complications in lithium users by causing toxicity. My symptoms matched with the symptoms of lithium toxicity. But all the laboratory tests did not demonstrate any kidney problems. Is it possible to have neurological or lithium toxicity due to these medications without involving kidneys?