The problem is that Ubuntu 14.04 uses libdbus-1-3 version 1.6.18. That's why you cannot install a package that requires 1.9.14 or higher.
One simple solution is to upgrade to a newer release of Ubuntu. For example, Ubuntu 16.04 uses libdbus-1-3 version 1.10.6.
Another simple solution is to use an older version of the software you want to install. The requirement for libdbus-1-3 version 1.9.14 indicates that it's not from a currently-supported Ubuntu repository anyway.
Here's one easy way to figure it out the different versions provided by each release (and repository) of Ubuntu:
$ rmadison libdbus-1-3
libdbus-1-3 | 1.4.18-1ubuntu1 | precise | amd64, armel, armhf, i386, powerpc
libdbus-1-3 | 1.4.18-1ubuntu1.8 | precise-security | amd64, armel, armhf, i386, powerpc
libdbus-1-3 | 1.4.18-1ubuntu1.8 | precise-updates | amd64, armel, armhf, i386, powerpc
libdbus-1-3 | 1.6.18-0ubuntu4 | trusty | amd64, arm64, armhf, i386, powerpc, ppc64el
libdbus-1-3 | 1.6.18-0ubuntu4.4 | trusty-security | amd64, arm64, armhf, i386, powerpc, ppc64el
libdbus-1-3 | 1.6.18-0ubuntu4.5 | trusty-updates | amd64, arm64, armhf, i386, powerpc, ppc64el
libdbus-1-3 | 1.8.12-1ubuntu5 | vivid | amd64, arm64, armhf, i386, powerpc, ppc64el
libdbus-1-3 | 1.10.6-1ubuntu3 | xenial | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.6-1ubuntu3.1 | xenial-security | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.6-1ubuntu3.3 | xenial-updates | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.10-1ubuntu1 | yakkety | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.10-1ubuntu1.1 | yakkety-security | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.10-1ubuntu1.1 | yakkety-updates | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.10-1ubuntu1.2 | yakkety-proposed | amd64, arm64, armhf, i386, powerpc, ppc64el, s390x
libdbus-1-3 | 1.10.10-1ubuntu2 | zesty | amd64, arm64, armhf, i386, ppc64el, s390x
Best Answer
gir1.2-launchpad-integration-3.0 repository support has been discontinued
Though you can install using debian installer
gir1.2-launchpad-integration-3.0_0.1.56_amd64.deb
gir1.2-launchpad-integration-3.0_0.1.56_i386.deb
It has dependencies which needs to be met that can also be downloaded
(1) liblaunchpad-integration-common
(2) liblaunchpad-integration-3.0
64-bit version
32-bit version
Start from installing liblaunchpad-integration-common
Then install liblaunchpad-integration-3.0
Finally install gir1.2-launchpad-integration-3.0
Et Volia! you are done.