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Assuming for a moment that the Linux filesystem you are using supports large file sizes (are you using some flavor of FAT?), the problem you may be experiencing with max file size 2GB is likely the application you are using to create the files in the first place.
For example, many libpcap packages are compiled without the options -D _LARGEFILE64_SOURCE -D FILE_OFFSET_BITS=64, which enables large file support. Without these options set, any libpcap-aware application will only write pcap traces up to 2 GB, then crash. This is likely your problem with whatever compression application you are using. Try finding one built with large file support.