Again...take all of this with a grain of salt because there are quirks with each state and sometimes there are some arcane procedures and lesser known maneuvers to manipulate the process. There are also well known maneuvers, even after McCain-Fiengold (aka the Bipartisan Campaign Reform Act of 2002). I did some lobbying prior to the implementation of the BCRA, so I could just walk in with a check and have an audience of my choosing prior to important votes...ya know...the 'Murican Way!
You can tell I'm not jaded with the process. 
.
Here are
the IL House Rules. Be warned they are wordy and boring...welcome to the gov't. The committee options are as follows:
House Rule 22: Committee Procedure said:
22. Committee Procedure.
(a) A committee may consider any legislative measure referred to it, except as provided in subsection (b), and may make with respect to that legislative measure one of the following reports to the House or to the parent committee, as appropriate:
(1) that the bill "do pass";
(2) that the bill "do not pass";
(3) that the bill "do pass as amended";
(4) that the bill "do not pass as amended";
(5) that the resolution "be adopted";
(6) that the resolution "be not adopted";
(7) that the resolution "be adopted as amended";
(8) that the resolution "be not adopted as amended";
(9) that the floor amendment, joint action motion, conference committee report, or motion to table a committee amendment referred by the Rules Committee "be adopted";
(10)that the floor amendment, joint action motion, conference committee report, or motion to table a committee amendment referred by the Rules Committee "be not adopted";
(11) that the Executive Order "be disapproved";
(12) that the Executive Order "be not disapproved";
(13) "without recommendation"; or
(14) "tabled".
If the proposed legislation makes it out of committee, then it goes back to the House, which then goes through a number of steps involving a reading of the bill, open debate, public comment, questions for the committee, etc. The bill needs to be read 3 times prior to any full membership vote (to ensure things don't get added in without fair notice of the reps and public....allegedly). This is all well and good, but there are a bunch of things that can be done to stall, change, kill, etc. proposed legislation.
As for taking action by the deadline....I believe
something needs to be done about the legislation, which can include extended it to the next meetings/session, tabling it, sending it back to the committee w. questions/clarifications, withdrawing it (done by the Sponsor), etc. I'm sure I'm forgetting about a dozen things...but hopefully that helps.
It really takes a ton of effort to get ANYTHING through bc of all of the horse-trading that goes on behind closed door. I'll be watching this closely, but there are still quite a few hoops that need to be jumped through before this legislation sniffs the Governor's desk for a signature.