This is the 2430th most frequent Russian word.
подписали
"Signed."
Here 'подписали' means 'signed', referring to the action of formally endorsing a document.
Мы подписали договор о сотрудничестве.
We signed the cooperation agreement.
In this context, 'подписали' indicates the action of signing or writing one's name on a card as a form of personalization.
Они подписали открытку с пожеланиями.
They signed the greeting card with wishes.
Here 'подписали' refers to the action of signing an application, officially approving or acknowledging it.