The "esters", Valerate or Cypionate, can only be separated from the estradiol molecule in the human body. These esters are what make the estradiol longer lasting. Pure estradiol would only last a few hours at most.
This breakdown just can't happen in the vial. So the "halflife" is not a factor there.
Even though the vial has an expiration date, as do all medicines, they are typically very arbitrary. Recent studies by the US Department of Defense have shown that most drugs are safe and effective years, even decades, after their expiration dates. ( Shelf Life Extension Program ).