How do I sum a column with 3 conditions?

Here is what I'm trying to do. If the box is checked in Hours::B, and Hours::Companies = Invoiced::A2, then sum Duration. This all takes placed in the Invoiced::Duration Invoiced cell. So once I invoice a company for a certain amount of hours for the month, I can check the invoiced box, and it automatically calculates the total duration invoiced for that company. I know there has got to be a way, I just can't get the formula right. Currently it is doing the sum of the duration for any company with invoiced checked. Help!

Hi Taryn,
If I'm reading this correctly, there are two conditions, not three.
Company name
State of checkbox
Invoiced::D2 should read 6h 0m,
Invoiced::D2 should read 1h 30m
Formulas:
Invoiced::D2 (and filled down to D3): =SUMIFS(Hours :: F,Hours :: $A,A,Hours :: B,TRUE)
To Invoice::C2 (and filled down to C3): =SUMIFS(Hours :: F,Hours :: $A,A,Hours :: B,FALSE)
To Invoice::D2 (and filled down to D3): =IFERROR(B*DUR2HOURS(C),"")
The error trap is needed when, as in the sample, there are no hours to be invoiced. SUMIFS will return a zero, and DUR2HOURS, expecting a Duration, but finding a number, will throw an error. IFERROR catches the error and returns an empty string, acceptable to SUM in the Footer cell, D4.
Regards,
Barry

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