The claim made by the BU School of Public Health that "Long-term Oral Contraceptive Doesn't Hurt Infertility," is a true and reliable source, because it is supported through research and credible medical professionals. The article published by BU references findings that demonstrate that oral contraceptive uses do not affect a woman's ability to concieve or lead to infertility after discontinuing the pill. In fact, the study, published in Oxford Academic, which is heavily referenced throughout the article delves into detailed data showing that woman's chances of getting pregnant return relatively quickly after stopping oral contraceptives. According to Elizabeth Hatch, BUSPH professor of epidemiology, "OC use is not detrimental, and that fertility may actually improve with more years of use," confirming the idea that there are no known long-term negative impacts on fertility
After further reserach and cross checking, according to Beaufort Memorial "Does Birth Control Affect Fertility and Long-Term?" , Dr Tiffany Bersani, an OBGYN from Beaufort Hospital states "the hormones in the pill only stay in your body a short time, which is why you need to take one every day for the pill to be effective." She further clarifies that once you stop taking the pill, your normal cycle should resume, and your ability to conceive within a few months.
https://www.bmhsc.org/blog/does-birth-control-affect-fertility-long-term