"notwithstanding the implications" is correct and usable in written English.
You can use it to introduce a statement that contradicts or is in opposition to previously stated implications. For example: "Notwithstanding the implications, I believe this new product will be successful."
Economic, physical, career and spiritual issues notwithstanding, the social implications of these circumstances are what will most likely be the most stressful to deal with.
Notwithstanding these implications, the findings presented herein should be considered in the context of a few limitations.
Notwithstanding the male pronouns (the implication, of course, being that men are artists and women are, well, flower arrangers), the sentiments ring true: distinguishable from run-of-the-mill amateur photographers, the Allen sisters created some of the greatest visual reminders of old New England.
Notwithstanding the measurement challenges outlined here, the implications for professional education and the health systems agenda are sufficiently important to warrant further investigation.
Notwithstanding the efficacy debate, the resource implications for the prescription of recombinant therapies are considerable.
Notwithstanding the innate limitations of standard curve-based quantification, the implications of amplification efficiency determination extend beyond issues of quantitative accuracy, playing a predominant role in the operational component of real-time qPCR.
Iran notwithstanding, we as a country have yet to fully consider and understand the implications of the policies that produced the Vietnam War and the ensuing constitutional crisis known as Watergate.
Notwithstanding these anticipated contributions, our study protocol has limitations and, hence, more research will be needed to further explore the implications of our work.
Notwithstanding President Bush's understandable desire to have this distracting mess out of the way, Attorney General John Ashcroft cannot ignore the implications of the payments to Hugh Rodham.
Notwithstanding, this is an important topic in chiropractic currently and warrants both further discussion and research to determine future directions and the implications of either pursuit or denial of prescription rights by chiropractors.
