Assuming the vote for the amendment to the covenant concerning a HOA was approved by the required amount of votes of property owners in the association under the recorded "covenants, covenants & restrictions".The amended covenant should be drafted by an attorney experienced in association matters. Time to draft and sign the covenants would be set by the recorded document I referred to above and if not, in a reasonable amount of time under the circumstances.The amendment to the covenant does not get filed with the court. It gets recorded with the county recorder's office where the property subject to the amendment of the covenant is located.