There are quite a few sites in the network where content can sometimes overlap. That is, there are questions that could be appropriate on multiple sites in the network. Combine this with the fact that some askers are very eager to get their questions answered, and you can end up with scenarios like this:
OP asks question on ELL (34 min ago)
OP asks same exact question on ELU (32 min ago)
Someone answers the ELU question (28 min ago)
Someone answers the ELL question (23 min ago)
A second person answers the ELL question (21 min ago)
A moderator on either site (let's say ELL) is tipped off and realizes that an identical question is open and answered on both sites. (19 min ago)
In the meantime, a second person answers the ELU question (18 min ago)
Said moderator contacts an ELU mod to determine which site the question should be migrated to for merging. Usually the answer is "the first one it was posted on", but sometimes the question is more appropriate for one site than the other. (17 min ago)
Moderators agree on destination; duplicate question is migrated to ELL (15 min ago)
Duplicate is closed and merged so that all the answers appear in one place (13 min ago)
Users who took the time to answer the question on either site realize that answers had already been posted on the other site and that they quite possibly wasted their time answering in the interim. If the question was migrated away from their site, users realize they have lost rep for that post. (7 min ago)
It is determined that a whole lot of time and effort has been wasted for everybody (58 seconds ago)
The solution? When a user attempts to post a question, check if they have an identical question open on another site. If they do, do not allow them to post it.
This would save a lot of time and effort for everyone involved. Cross-posting identical questions between sites is not allowed, and having a feature that disables it would save time on the part of both answerers and moderators. I simply used ELL and ELU as an example because I'm familiar with it; I have a feeling this is an issue on other sites as well, or else the answer about disallowing cross-posting would never have been necessary.
Note that I am not asking that this check include closed questions; if a question has been closed as off topic on one site, it's perfectly acceptable to try and post it on a site where it might be on topic. But if a question is open on one site, it shouldn't also be open on another. We want all the answers in one place and to not waste answerers' time repeating things.
This can get especially hairy because unlike most things moderators deal with, it cannot be accomplished by yourself. You must get in contact with a moderator from the other site—andthat doesn't always take just a few minutes. While you're waiting to discuss the final destination of the question (or if you know it belongs on your site, but can't take care of that because you don't have that migration power) more answers will accumulate on the questions, thus wasting more answerers' time.