laying eggs weeks apart and no babies

Question
We have a male finch for a few years and recently got a very young female since he was constantly building nests and we wanted him to have a partner.  4 weeks later there were two eggs and then a week later two more and still two more a week later.  Now there is one more total of 6 and still no babies.  So since the first egg was laid it has been 4 weeks and now there is one more from yesterday for a total of 7.  What should we do?

Answer
The easiest way to check if an egg is fertile is to shine a light through it a couple of days after it is laid. You will easily see the difference between a fertile and nonfertile (nonfertile will appear to have nothing in them). If you are wondering, you can shine a light through these eggs to check. If they're all duds, just toss 'em if not, leave them all