Unlike the seven provinces of Holland, Zeeland, Utrecht, Guelders, Overijssel, Friesland and Groningen, these territories had no States-Provincial and were not represented in the central government.
At the time of the Union of Utrecht, these territories were under Spanish control, and would only be conquered by the Dutch Republic later in the war.
After the French occupation of the Southern Netherlands and the proclamation of the Batavian Republic in 1795 the Generality Lands ceased to exist.
When French rule ended and the United Kingdom of the Netherlands began, the former Generality lands were folded into the provinces.
Territories of the Dutch Republic outside Europe were also under general States rule, for example Staten Island in present-day New York City.