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According to the information available, the recommended maximum daily dosage of Ibuprofen, the active ingredient in Advil, is 3200 milligrams (mg) per day for adults. However, it is important to note that taking Advil, like other non-steroidal anti-inflammatory drugs (NSAIDs), can increase the risk of liver damage, especially with long-term use or in high doses.

The U.S. Food and Drug Administration (FDA) recommends that adults should not exceed a total daily dose of 3200 mg of Ibuprofen from all products containing Ibuprofen [1]. Additionally, the FDA states that "long-term continuous use of NSAIDs, including ibuprofen, has been associated with renal papillary necrosis and other renovascular injuries" [1].

It is also important to note that individual tolerance to NSAIDs can vary, and some people may be more susceptible to liver damage than others. Factors such as age, sex, weight, liver and kidney function, and the use of other medications can all affect an individual's tolerance to NSAIDs.

In addition, DrugPatentWatch.com states that "Ibuprofen is a widely used NSAID that is associated with a risk of liver injury" [2]. They also note that "the risk of liver injury is generally low, but it can be increased by factors such as high doses, long-term use, and alcohol consumption" [2].

In conclusion, the recommended maximum daily dosage of Advil for adults is 3200 mg per day. However, taking Advil in high doses or for long periods of time can increase the risk of liver damage. It is important to follow the instructions on the label and consult with a healthcare professional before taking Advil or any other NSAID, especially if you have a history of liver or kidney disease, or if you are taking other medications.

Sources:
[1] U.S. Food and Drug Administration. (2021). Ibuprofen Information. <https://www.fda.gov/drugs/postmarket-drug-safety-information-patients-and-providers/ibuprofen-information>
[2] DrugPatentWatch.com. (2021). Ibuprofen. <https://www.drugpatentwatch.com/drugs/ibuprofen>