This is the 1732nd most frequent Portuguese word.
desenvolvidas
"Desenvolvidas" means "developed."
Here, 'desenvolvidas' functions as an adjective describing the cities, highlighting that they are improved or progressive in terms of their development.
As cidades desenvolvidas possuem uma economia forte.
Developed cities have a strong economy.
In this sentence, 'desenvolvidas' is used as a past participle functioning as an adjective modifying 'técnicas', indicating that the techniques were subject to a process of development by the researcher.
As técnicas desenvolvidas pelo pesquisador são inovadoras.
The techniques developed by the researcher are innovative.
The word 'desenvolvidas' here is used as an adjective describing 'crianças', referring to children who have developed properly in terms of physical and/or emotional aspects.