请英语中文高手进~~语法问题~谢谢了~

从全句的语境上来说，肯定是用meet each other好。
另外，这句英文有个很大的语法错误，though和but是不可连用的。。。
根据这句中文，我帮你翻了一句：
I begin to believe that we are just like two parallels that will never meet each other, however I still love you.

应该用intersect好，这是一种比喻，但是外国人不会那么含蓄的，所以你在某些字眼上要下点工夫，也就是说要说明白一点。

I begin to realize that both of us may be linked with the two parallels which will have never intersected each other .

还是intersect好些吧。直线相交。
The line AB intersects the line CD at E.
直线AB与直线CD相交於E点.
尽管是指的人，但这个比喻还是要先表达清楚吧。