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Incomplete combustion happens when insufficient O2 is available.

Complete combustion:

CH4 + 2O2 --> CO2 + 2H2O

Complete combustion results in the formation of just carbon dioxide and water, neither of which is toxic.

Incomplete combustion:

CH4 + O2 --> C + H2O or

2CH4 + 3O2 --> 2CO + 4H2O or any other reaction forming C, CO and maybe some CO2 or any combination of them.

Incomplete combustion results in the formation of CO (carbon monoxide) which is highly toxic &/or C (plain old carbon, otherwise known as soot), which is very dirty.

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