Thank you for confirming.
The problem here is that your tv lacks a QAM tuner. While it has a tuner that could pick up over the air channels from an antenna, it does not possess the proper type of tuner to work with cable, and at this point TW cable is encrypted in most all regions anyway. What this means is that the tv would require the use of an external tuner box (set top box), which you can ask TW to provide for you. IF they don't encrypt signals in your area you could buy your own box for around $35, but cable companies everywhere are transitioning to encrypted signals meaning that at some point, sooner than later, a box from them would still be necessary at some point. If you'd like a link to order a box of your own, let me know.
Best regards, ***** ***** for the news,
I am an independent technician and I've spent my personal time, unpaid, in an effort to assist with the question for which you solicited my services. This site works on the honor system, and to that end, I have prioritized working with you ahead of other paying customers.
Although you’ve already paid your fee to the site, I am only compensated for my efforts when customers such as yourself leave positive feedback for my work. Again I apologize there is not a better outcome here, though this is really beyond either of our control. I do hope you’ll consider leaving a 5 star rating for me, rather than “shoot the messenger”, so that I may get credit for my time spent in good faith to answer your question accurately. Rating 1 or 2, or not rating at all, does not produce a refund, it only penalizes me for trying to help.