First realize the term Ivy League refers to a very specific set of 8 schools: Harvard, Princeton, Yale, Columbia, Penn, Cornell, Dartmouth, and Brown. These are all private schools, with the exception of Cornell which has both private and public components.
As you can see, after an abortion the hCG levels remain up for as long as 60 days. Following an abortion a positive pregnancy test may occur for as long as 60 days post abortion when the termination procedure was successful. The following two paragraphs come from the 19the edition of Contraceptive Technology.
The serum hCG test can be positive as early as 7-10 days following conception. However, in some pregnant women, the test is not positive 7-10 days after conception. This is because the time to implantation (and production of hCG) can be longer in some women.