Did Augustine suggest that the differences between Matthew and Luke's genealogies mean Joseph was adopted?

The Bible says that Joseph was not the biological father of Jesus because Jesus was conceived by the power of the Holy Spirit. However, I have heard that Augustine may have suggested that the differences between the genealogies in Matthew's gospel and Luke's gospel led him to conclude that Joseph was adopted. [This question](https://christianity.stackexchange.com/questions/74530/different-genealogy-in-matthew-and-luke) is helpful in explaining why the two accounts differ, but I am specifically looking for a reference to Augustine that suggests Joseph was adopted.