Which of the following two plays have been written by Arthur Miller?
A) They Too Arise
B) The Real Thing
C) Some Kind of Love Story
D) Tiny Alice
E) The Crying of Lot 49
Choose the correct answer from the options given below:

The correct answer is A and C.

Let us analyze the authorship of each of the plays listed in the question to understand why this option is correct:

A) They Too Arise: This is one of Arthur Miller's earliest plays. Written in 1936 while he was a student at the University of Michigan, it won the Avery Hopwood Award and explores the struggles of a Jewish family during the Great Depression. Thus, this play was written by Arthur Miller.
B) The Real Thing: This is a highly acclaimed intellectual comedy written by the British playwright Tom Stoppard, first performed in 1982. It is not written by Arthur Miller.
C) Some Kind of Love Story: This is a one-act play written by Arthur Miller, published in 1982. It was produced alongside another one-act play, Elegy for a Lady, under the collective title 2 by A.M.. Thus, this play was written by Arthur Miller.
D) Tiny Alice: This is a three-act play written by Edward Albee, first performed on Broadway in 1964. It is not written by Arthur Miller.
E) The Crying of Lot 49: This is not a play at all; it is a famous postmodern novella written by the American novelist Thomas Pynchon, published in 1966.

By evaluating the options, we find that only A (They Too Arise) and C (Some Kind of Love Story) are plays written by Arthur Miller, making the option A and C the correct choice.