Here 将=把, very difficult to find a literal mapping in English for this character, it's used to change the order of a sentence while keeping the meaning unchanged, e.g., 别忘了将（把）那本书拿来=别忘了拿那本书来。"起来" here signfies the outcome of the action as referred to by the preceeding verb, so 联系起来 should be understood as one here, we can't say "能将因果联系", it is not complete in Chinese, for it tells you the action of "correlation" is started, but no outcome is mentioned, adding "起来", people would clearly understand that not only the action of "correlation" is initiated but also the resultant status of such "correlation", ie, it's correlated, or the cause would result in the effect, and the effect would result from the cause. "能把因果联系起来" can be put in another way: "能确立因果联系"，or better "能确立因果关系"；“能联系因与果”，but the nuances are somewhat different。