Excluding certain post status's from pagination

So I’m running into a pagination / 404 issue with logged-in users seeing more numbered links than published posts that exist. So for example, if a logged-in user is browsing an archive page with pagination, and click on link number five they get a 404 page because they cannot view the pending posts that are unpublished, yet are somehow being factored into the pagination. How can I modify my existing code in order to solve this? Thanks.

// Pagination
function ta_page_navi() {
	global $wp_query;
	$bignum = 999999999;
	if ( $wp_query->max_num_pages <= 1 )
		return;
	echo '<nav class="pagination">';

		echo paginate_links( array(
			'base' 			=> str_replace( $bignum, '%#%', esc_url( get_pagenum_link($bignum) ) ),
			'format' 		=> '',
			'current' 		=> max( 1, get_query_var('paged') ),
			'total' 		=> $wp_query->max_num_pages,
			'prev_text' 	=> '←',
			'next_text' 	=> '→',
			'type'			=> 'list',
			'end_size'		=> 3,
			'mid_size'		=> 3
		) );

	echo '</nav>';
} /* end pagination */

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