Synonyms for the phrase "of normal intelligence" include terms such as average intelligence, typical intelligence, and regular intelligence. Other synonyms may include words like standard intelligence, normal cognitive abilities, and typical mental capacity. These terms refer to individuals whose cognitive functioning falls within the average range for their age and demographic group. It is important to note that these terms should be used with sensitivity and respect, as labels related to intelligence can be stigmatizing and harmful. It is also crucial to recognize that intelligence is a complex and diverse trait that cannot be fully encapsulated by any single term or label.