This is the 16040th most frequent Polish word.
twierdziły
"Twierdziły" means "they claimed" or "they asserted" in English.
In this sentence, 'twierdziły' is used in its most common sense, meaning 'they claimed' or 'they stated.' This verb is used in past tense to report what the subjects (the women) assumed to be true.
Kobiety twierdziły, że widziały coś niezwykłego.
The women claimed that they saw something unusual.
Here, 'twierdziły' shows the act of stating a belief or assumption by the subjects (they) about a specific fact in the context.
Twierdziły, że deszcz przestał padać.
They claimed that the rain had stopped.
In this structure, 'twierdziły' emphasizes the act of asserting something as true (completing the homework) by the subjects (the students).