I am using an cub cadet mower, model #883309. The

yes it is normal leave it alone if it isn't broke

Nolan, Check the attached links,instruction and guides for belt replacement on Cub Cadet. Good luck
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How to Change the Deck Belt on Cub Cadet Riding Lawn Mower Using Model...
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cub cadet belt replacement diagram Google Search

Hi Susan:
The deck height is controlled by a combination of linkages and is ultimately determined by the position of the deck height selection lever.
If the deck height is changing without moving the selection lever, one of the linkage connections must be disconnected, incorrectly connected, or damaged.
Review any work that was done on the machine immediately before the problem became apparent.
Chances are good that you will quickly resolve the problem.
Cheers.

How's the cable?... when you pull back on the lever, do you have tension?

2014 - Cub Cadet LTX 1046 KW - 21.5 HP Kawasaki 46 ...

www.georgiamower.com/cub-cadet-ltx-1046kw-2014
The Cub Cadet LTX 1046KW Series Lawn Tractor is one of the most innovative and ... pdf, 2013 Cub Cadet LTX1046KW, LTX1050, LTX1050KW Owners Manual ... 2012 - Husqvarna YTH22V42 - 42 Inch Hydrostatic Riding Lawn Mower.

can only guess

Low on cub cadet hydro fluid?
other hydro filter other and cub cadet?
linkage came unhooked from drive mechanism
your engage disengage lever at the back of the mower is set so it can be pushed,engage lever to allow hydro pump not to be bypassed

you will need to take it to shop it is complicated to do

Its the cable, not being tight enough.. I had the same issue...maybe its stretched.

Cub Cadet has five models in their new Series 1000 lawn tractors, all powered by Kohler engines. Cub Cadet models -- as several other lawn equipment brands -- are manufactured by MTD Products.

The Cub Cadet LT 1045 has a 20-hp Kohler single-cylinder engine, with an aluminum block and cast-iron sleeve for longer life. It has a full-pressure lubrication system with spin-on oil filter for easier maintenance. This engine is not as powerful or as long lasting as the Kohler V-Twin OHV, which is available in other models in the line, but the LT 1045's engine is still solid enough to provide years of mowing.

The hydrostatic (automatic) transmission is a good match with the engine and provides sufficient grip to cut grass on moderate inclines. Power is transferred from the engine to the transmission by a heavy-duty Kevlar belt rather than a more expensive shaft drive. A Kevlar belt also drives the three cutting blades.

The mowing deck cuts a swath of grass 46 inches wide at one pass, and is removable for service and cleaning. Four anti-scalping wheels help keep the deck from scalping grass on uneven ground. The cutting height is manually adjusted from 1-1/2 to 4 inches. The turning radius is 18 inches, which standard for lawn tractors. This model is intended for use on 1- to 2-acre lawns without many turns or small obstacles.

There are just so many possibilities. I doubt this is specific to Cub cadet. Usually it is a result of a misalignment.
You can go here for some more information
Lawn Mower quality of cut