The "Limited to 7 days - system time cannot be verified" message is shown in the Aligner License Server because the License Server cannot verify the correct time over the internet. Therefore the server gives you a 7 day limit for travel licenses. In order to check out travel license keys longer than 7 days, the Aligner License Server will need to verify that the system time is correct by getting the current date and time from network time servers (NTP servers). This requires that NTP traffic (port 123) can make it through the firewalls.
The most likely explanation why the License Server can not connect to the NTP servers online is because of your firewall settings or another program is interrupting the communication. You will need to correct this communication error. One possible solution may be to open up your firewall.
You may also want to have a look at our firewall forums:
Opening firewalls for OS X
Opening firewalls for Windows