While the new work permit types specify for how long they can be extended, this does not mean that your employee will have to leave Hungary once their permit expires. They can simply apply for a new permit of the same type from within Hungary while their residence permit is still valid.
“Extension” and “renewal” are words often used when we talk about letting people stay longer in Hungary. However, under the new Hungarian immigration law, the meaning of an “extension” got more limited and more defined. As a result, even if you see that a work permit cannot be extended, you can rest assured that you will be able to apply for a new one.