This question is deceptively complex unless you understand the backdrop of the English Civil War. There is a timeline of events which is a useful overview, but unless you understand why the events are important, it is merely a list of dates. The best resource for understanding that is the Revolutions Podcast which approaches a complex set of subjects with an appropriate irreverance.
To make a very long story brief, when Charles I of England was crowned, Parliament denied him the traditional sources of funds, so he was forced to explore some very dodgy sources to acquire the funds needed to run his government. (Remember under the English system, taxes are the free gift of the people to their Monarch.) Charles summoned a number of Parliaments and asked/demanded that they fund his administration (and his wars). The Parliaments refused, and Charles dismissed the Parliaments. After a fascinating bit of political brinksmanship Parliament is convened on November 3 1640. From that point they refuse to recess - this is the Long Parliament because they refuse to leave.
That is why the recess in 1641 is important. The Long Parliament finally took a break. By this point it was obvious that both Parliament and the Crown had violated Wheaton's Law repeatedly and thoroughly and there wasn't going to be a peaceful resolution. In fact in 1642, the King raises his standard at Nottingham beginning the English Civil War.