Having success blooming Cymbidiums where they were never meant to grow, will always be a huge challenge. Some Cyms are being bred to tolerate the higher temps and/or not require the 20 degree temperature drop of several weeks in the fall to help initiate blooming, but the majority of the plants available are cool growing and do best under those conditions.
Photos will help but I have to ask if these plants have EVER bloomed? They may just be intolerant of the lack of cool temps and just grow but never bloom.
My best advice if you are fertilizing well and watering correctly and the potting medium is fresh, is to experiment. Nothing ventured, nothing gained. You may be successful and be rewarded in the late winter to spring with lovely blooms.