LONDON — Brexit legislation once reduced Britain’s Parliament to recriminations and paralysis. But on Wednesday a bill that paves the way for the country’s departure from the European Union next week completed its final parliamentary stage with a noticeable absence of the fuss and drama of recent years.

The measure is expected to be enacted into law as soon as Thursday, after the House of Commons on Wednesday followed the government’s request and rejected a series of amendments added by the unelected second chamber, the House of Lords.

That more or less completed the legislative process in Britain, although the European Parliament will vote on the withdrawal agreement next week before Brexit happens formally on Jan 31. That vote is expected to pass with ease.

[Read: Battered at the polls, pro-Europe Britons gird for the next fight.]

Among the five amendments rejected was one designed to protect the rights of refugee children to join their families in Britain after Brexit.