Mixed ANOVA withinXbetween interaction not significant, interpret simple effects?

#1
Hi Experts,
I have conducted a 2 (time: before, after) x 3 (condition 1 2 3) mixed ANOVA.
The within X between interaction is only marginally significant .06.
However, simple effects indicate significant change in conditions 1 and 2.

The interaction indicates if change over time is a function of group membership, correct? If it is significant, then one group has changed more than some other group. So this does not say anything about change within a specific group (= simple effect), correct?

May I test, interpret, report the significant simple effects despite the nonsignificant interaction?

thank you
Oliver
 
#2
I have not yet found an answer myself, so if anyone knows if the nonsignificant interaction forbids interpreting simple effects I would be interested to know!
thanks!