A more thorough explanation:

Term: ex deliberatione Dominorum Concilii
Definition: This is a Latin phrase that means "after consideration by the Lords of Council." In the past, when someone wanted a writ (a legal document), they had to present a bill or petition to the Lord Ordinary on the Bills. If the Lord Ordinary approved the bill, the writ would be issued with the words "ex deliberatione Dominorum Concilii" to show that it had been considered by the Lords of Council. Nowadays, these words are still added to writs, but they are just a formality because writs are no longer reviewed by the Lords of Council.
Example: When a lawyer wants to file a lawsuit, they might need to get a writ from the court. If the writ is issued with the words "ex deliberatione Dominorum Concilii," it means that the Lords of Council considered the lawyer's request before issuing the writ. However, this is unlikely to happen nowadays because writs are usually issued without being reviewed by the Lords of Council.