That's it. :)

>Light first fuse from both ends and the second from one end at the same time. AT the momemnt when the first fuse burnes out ( 30 min) light the second end of the second fuse. It'll last 15 more minutes.
>
>>>>>Let each fuse burn for 15 minutes and extinguish them. The rest of each fuse will burn for 45 minutes.
>>>>>
>>>>>>You have two fuses of variable lengths.
>>>>>>
>>>>>>Each fuse burns for exactly 1 hour.
>>>>>>
>>>>>>Each fuse burns unevenly. ( example 1/10th of the fuse could burn for 50 minutes and the rest of the fuse could take 10 minutes. ) You don't know until after the fuse has burned up.
>>>>>>
>>>>>>Make the two fuses last exactly 45 minutes.
>>>>
>>>>You don't have a watch or any other way of telling time. How can you determine when 15 minutes is up?
>>>
>>>What else I don't have or cannot use? :)
>>
>>Sorry about that, I forgot to add that.
>>
>>The constraints of the puzzle are that you have matches and fuses and with those two things alone, you should be able to figure a way to burn the two fuses so they take 45 minutes.