Explanation
Expresses 'though there is ... (some negative or burdensome aspect), still ...'.
Formation
Noun + こそあれ + (result/continuation)
Detailed explanation
「Noun こそあれ」is a somewhat formal expression meaning 'Though there is X, (still) Y'. It acknowledges one (often negative) aspect while asserting that it does not prevent or change another fact or outcome.
Examples
Mondai koso are, purojekuto wa junchou ni susunde imasu.
Though there are problems, the project is progressing smoothly.
Tashou no risuku koso are, chousen suru kachi wa aru.
Though there is some risk, it's worth taking on the challenge.
Ketten koso are, kare no teian wa kyoumibukai.
Though it has flaws, his proposal is intriguing.
Fuan koso are, ima ga koudou suru toki da.
Though there is anxiety, now is the time to act.
Practice
Grammar content sourced from hanabira.org.