He kept his goals close to his heart and remained

He kept his goals close to his heart and remained

作系动词用表示“一直保持”、“仍然（处于某种状态）”、“继续存在”、“依然”
1．后面接名词作表语
eg.
①、Language was,is and will remain the chief means of exchange of ideas．
语言,过去、现在和将来依然是交流思想的主要工具.
②、In spite of their quarrel,they remained the best friends．
他们尽管吵过架,却仍不失为最好的朋友.
2．后面接形容词作表语
eg.
①.We must always remain modest and prudent．
我们必须经常保持谦虚、谨慎.
②.Despite the danger,she re- mained calm．
尽管危险,可她依然镇定自若.
3．后面接介词短语作表语
eg.
Victories remain with us．胜利属于我们.
4．后面接V-ing作表语
eg.
She remained standing though we repeatedly asked her to sit down．
虽然我们三番五次地请她坐下,她还是站着.
5．后面接过去分词作表语
eg.
①、The true author of the book remains unknown．
这本书真正的作者依然不详.
②、The situation remains unchanged．局势依然未变.

比如remain seated 保持坐着 。因为remain 本身就是系动词

此处wrapped为过去分词形式的形容词，意味包裹在自己的世界里