Lawyers for the three were in an Edmonton court seeking to have the licence suspensions stayed.
Since last July, drivers who are pulled over and blow over .08 have their vehicles impounded for three days and lose their licences until their cases are resolved in court.
Lawyer Fred Kozak has said he plans to argue that the law presumes guilt and violates people's charter rights by suspending their licences indefinitely.
Kozak has said it could take a year before the constitutional challenge is heard.
There is no word on when the court will rule on the stay applications.
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