"continue to refrain" is correct and usable in written English.
You can use it when you are telling someone to avoid a certain action over a period of time. For example, "I strongly urge you to continue to refrain from using offensive language."
Hammond said the expectation was that Iran would continue to refrain from sensitive atomic activity.
It will continue to refrain from research and development activities in the country.
But for now, Dr. Harin will continue to refrain from talking politics at his favorite restaurant.
As he spoke to the crowd on Tuesday, Mr. Hazare implored his supporters to continue to refrain from violence.
Russia should continue to refrain from delivering fuel for Iran's Russian-built nuclear power reactor until Tehran renounces uranium enrichment and fully cooperates with the I.A.E.A.
The statement continued, "In the meantime, we have asked the Falcons to continue to refrain from taking action pending a decision by the commissioner".
Between 1966 & 1971 Percy continued to refrain from essays or articles, and the result was "Love in the Ruins", published in the spring of 1971.
Leaders of the militant Hamas group said today that their organization was continuing to refrain from suicide attacks inside the boundaries of pre-1967 Israel.
The European diplomats said in a joint statement that Iran had spurned all offers from the outside world for better relations in exchange for continuing to refrain from uranium enrichment activities.
The same man who led the charge against Saddam Hussein and championed the cause of democracy in the wider Middle East continues to refrain from prescribing a comparable solution to Africa: only last week, the World Bank President described Africa as top priority but urged the G8 leaders only to fulfil their promise to write off African debts and promote the continent's development.
You're just going to suck this out of our neighborhood and not say anything?" The Giuliani administration yesterday continued to refrain from commenting on the Tweed Courthouse, which is undergoing an extensive renovation with an estimated cost that has risen to $89 million from $36 million in four years.
