No sound on my 2 year old luxor 40 inch tv

Luxor is a budget brand made in Turkey for the Swedish market. You likely have failing components, probably electrolytic capacitors. You put the set on, they warm up and fail. They can be replaced but you are better to invest in a new set by one of the major makers like Samsung, Sony or LG. A quick search shows they have some history of faulting

https://www.google.com/search?q=Luxor+tv+keeps+losing+picture

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No, because it has no connectivity.

Luxor 40" TV Full HD 1080p LCD with built in Freeview ...

https://dealbuyer.com > viewproduct > Luxor_40_TV_...
Luxor 40" TV Full HD 1080p LCD with built in Freeview LUX-40-914-TVB , Manufacturer: Luxor, Category: TVs & Entertainment > TVs, Price: £149.95.

Asda Luxor LUX-40-914-TVB 40? HDTV going for a song

https://www.product-reviews.net > asda-luxor-lux-40-9...
Jan 30, 2012 - It offers 1080p HD viewing in a 40-inch screen that will certainly not break the bank, and will be ideal for connecting up that affordable Blu- ...

Luxor LUX-40-914-TVB 40" 1080p HD LCD Television ...

https://www.ebay.co.uk > Sound & Vision > TVs
Find many great new & used options and get the best deals for Luxor LUX-40-914-TVB 40" 1080p HD LCD Television at the best online prices at eBay!
Rating: 5 · ‎2 reviews

You must check your input signal...how is signal being sent to your' TV....set TV to THAT input type

check with a flashlight against the screen for picture, if present backlight inverter has failed.

Does anyone know where can I buy a screen for a 27" LCD Insignia TV. Model is NS-27LCD? My screen creaked. I checked out e-bay and have not found a broken TV with a good screen. Does anyone know where I can buy a screen at. 
Thank you all for you time. 
JC 

Mine isnt even 1 year old and same problem. was fine last night, woke this morning, turned it on and there they are green and purple

So, where are the answers?

MYGR8-YOU HAVE TO LIST BRAND NAME AND MODEL #. JOE TV