You didn't tell us which dates are valid, but here's an example you can adapt to your dates. In this example I want to limit dates to the current year (2018).
1. Select A2:A100
2. Data>Validation>Custom
3. Enter this formula in the dialog box:
Code:
=OR(A2="Not Known",AND(A2>=DATE(2018,1,1),A2<=DATE(2018,12,31)))