Later she moved the shop out to the shopping center.

Later she moved the shop out to the shopping center
后来她把商店搬（了出去）到了购物中心。

不久她就把店搬出来,挪进了购物中心.

moved the shop out + to the shopping center

out是跟着前面那个动词move的, to表示前面整个动作的指向

不久她就将商店搬到了购物中心。

move out 迁出 后面跟 to 表示方向

Later she /moved /the shop out /to the shopping center.

不久，她把店铺挪了出去，转而搬到了购物中心。

后来她提出了商店的购物中心.

之后她把店铺搬出了购物中心。