Are there any adverse interactions between Advil and celecoxib?

Taking both NSAID has a major interaction, major meaning:

Major Highly clinically significant. Avoid combinations; the risk of the interaction outweighs the benefit.

Interactions between your drugs
Major
ibuprofen celecoxib
Applies to: Advil (ibuprofen), celecoxib

Using celecoxib together with ibuprofen may increase side effects associated with these medications. In particular, there may be an increased risk of serious gastrointestinal toxicity including inflammation, bleeding, ulceration, and perforation. The risk is dependent on both dosage and duration of therapy of each medication. Talk to your doctor if you have any questions or concerns. Your doctor may be able to prescribe alternatives that do not interact, or you may need a dose adjustment or more frequent monitoring to safely use both medications. It is important to tell your doctor about all other medications you use, including vitamins and herbs. Do not stop using any medications without first talking to your doctor.

There is also a therapeutic duplication, you are taking 2 drugs that belong to the same drug class.

Meaning:

Therapeutic duplication warnings
Therapeutic duplication is the use of more than one medicine from the same drug category or therapeutic class to treat the same condition. This can be intentional in cases where drugs with similar actions are used together for demonstrated therapeutic benefit. It can also be unintentional in cases where a patient has been treated by more than one doctor, or had prescriptions filled at more than one pharmacy, and can have potentially adverse consequences.

Duplication
Nonsteroidal anti-inflammatories
Therapeutic duplication

The recommended maximum number of medicines in the 'nonsteroidal anti-inflammatories' category to be taken concurrently is usually one. Your list includes two medicines belonging to the 'nonsteroidal anti-inflammatories' category:

Advil (ibuprofen)
celecoxib

Note: In certain circumstances, the benefits of taking this combination of drugs may outweigh any risks. Always consult your health care provider before making changes to your medications or dosage.

Interaction report: https://www.drugs.com/interactions-check.php?drug_list=1310-782,560-0

I advice you to speak with your Dr. regarding the interaction report and the therapeutic duplication before taking both, for your own safety.