You can pass array with multiple queries to meta_query
.
Something like:
'meta_query' => array(
array(
'key' => 'eg-enddate',
'value' => date("d/m/Y"),
'compare' => '>',
'type' => 'numeric'
),
'relation' => 'AND',
array(
'key' => 'eg-startdate',
'value' => date("d/m/Y"),
'compare' => '<',
'type' => 'numeric'
)
)
For more please go through documentation: https://codex.wordpress.org/Class_Reference/WP_Meta_Query
Note: Code is not tried or tested so look out for syntax errors.