There is no direct scientific evidence available in the cited sources to support the claim that frequent use of Advil (ibuprofen) impacts the effectiveness of antidepressants. However, it is important to note that certain antidepressants, such as monoamine oxidase inhibitors (MAOIs) [3], can have interactions with non-prescription medications like Advil [1]. Therefore, it is always advisable to consult with a healthcare provider before combining any medications, including over-the-counter drugs like Advil, with prescribed antidepressants [2].

Sources:
[1] DrugPatentWatch. (n.d.). Advil. Retrieved from <https://www.drugpatentwatch.com/p/tradename/ADVIL>
[2] Mayo Clinic. (2021, March 12). Depression (major depressive disorder): Diagnosis and treatment. Retrieved from <https://www.mayoclinic.org/diseases-conditions/depression/in-depth/maois/art-20043992>
[3] NHS. (2021, March 12). Nortriptyline. Retrieved from <https://www.nhs.uk/medicines/nortriptyline/>