The phrase "were required" is commonly used to indicate a mandatory or necessary action. However, there are many other phrases that can be used in its place depending on the context of the sentence. Some synonyms for "were required" include "had to," "must," "needed," "demanded," "essential," "obligated," "compelled," and "necessitated." These options can add variety and precision to your writing, making it more concise and engaging. Consider using different synonyms to express the same idea in various ways in order to avoid repetition and keep your writing fresh and interesting.